write an equation for the polynomial graphed below

This graph has three x-intercepts: x= 3, 2, and 5. WebHow to find 4th degree polynomial equation from given points? The revenue can be modeled by the polynomial function. minus 3/2 in our product. For example, consider this graph of the polynomial function. The y-intercept is located at (0, 2). To solve a word question, you need to first understand what is being asked, and then identify the key words and phrases that will help you solve the problem. -8-7-6-3 -3 8 The y intercept is at (0, 0.2) Give exact When studying polynomials, you often hear the terms zeros, roots, factors and. 4 -5-4 3 3 4 5 -4 -5+ y (x) = %3D 3. FYI you do not have a polynomial function. WebWrite an equation for the polynomial graphed below. Table 1. Select all of the unique factors of the polynomial function representing the graph above. WebQuestion: Write an equation for the polynomial graphed below Show transcribed image text Expert Answer Transcribed image text: Write an equation for the polynomial graphed Direct link to A/V's post Typically when given only, Posted 2 years ago. Question: Write an equation for the 4th degree polynomial graphed below. Precalculus Help Polynomial Functions Graphs of Polynomial Functions Write the Equation of a Polynomial Function Based on Its Graph. A rational function written in factored form will have an [latex]x[/latex]-intercept where each factor of the numerator is equal to zero. Direct link to Wayne Clemensen's post Yes. Direct link to Raquel Ortiz's post Is the concept of zeros o, Posted 2 years ago. Examining what graphs do at their ends like this can be useful if you want to extrapolate some new information that you don't have data for. in the answer of the challenge question 8 how can there be 2 real roots . Add 5x - 3x + 1 and x + 8x 13. WebWrite an equation for the 4th degree polynomial graphed below - There is Write an equation for the 4th degree polynomial graphed below that can make the. - [Instructor] We are asked, what could be the equation of p? Now that we know how to find zeros of polynomial functions, we can use them to write formulas based on graphs. Algebra questions and answers. WebIn this unit, we will use everything that we know about polynomials in order to analyze their graphical behavior. 5xx - 11x + 14 Use k if your leading coefficient is positive and -k if If the coefficient is negative, now the end behavior on both sides will be -. It also tells us whether an expression, Try: find factors and remainders from a table, The table above shows the values of polynomial function, Practice: select a graph based on the number of zeros, For a polynomial function in standard form, the constant term is equal to the, Posted 2 years ago. Focus on your job. You can leave the function in factored form. WebWrite an equation for the function graphed below Given: The graph of the polynomial is shown below: From the above graph, it can be observed that there are four x x intercepts at x=-3,x=-2,x=1andx=3 x This is a sad thing to say but this is the bwat math teacher I've ever had. If you need your order delivered immediately, we can accommodate your request. Direct link to jenniebug1120's post What if you have a funtio, Posted 6 years ago. The top part and the bottom part of the graph are solid while the middle part of the graph is dashed. It curves down through the positive x-axis. The polynomial function must include all of the factors without any additional unique binomial factors. Direct link to Sirius's post What are the end behavior, Posted 4 months ago. (Say, "as x x approaches positive infinity, f (x) f (x) approaches positive infinity.") 2003-2023 Chegg Inc. All rights reserved. No matter what else is going on in your life, always remember to stay focused on your job. And we have graph of our WebThe polynomial graph shown above has count unique zeros, which means it has the same number of unique factors. This is often helpful while trying to graph the function, as knowing the end behavior helps us visualize the graph Direct link to kyle.davenport's post What determines the rise , Posted 5 years ago. Direct link to Darshan's post How can i score an essay , Posted 2 years ago. For those who struggle with math, equations can seem like an impossible task. Sometimes, a turning point is the highest or lowest point on the entire graph. Math is all about solving equations and finding the right answer. order for our polynomial to be equal to zero when x There are multiple ways to reduce stress, including exercise, relaxation techniques, and healthy coping mechanisms. Convert standard form to slope intercept form, How are radical expressions & rational exponents used in real life, How to find domain and range of a relation on a graph, Jobs you can get with applied mathematics. What are the end behaviors of sine/cosine functions? The bottom part of both sides of the parabola are solid. to see the solution. Polynomial From Roots Generator input roots 1/2,4 and calculator will generate a polynomial show help examples Enter roots: display polynomial graph Generate Polynomial examples example 1: WebWrite an equation for the polynomial graphed below 5 Given: The graph of the polynomial is shown below: From the above graph, it can be observed that there are four x x intercepts at x=-3,x=-2,x=1andx=3 x Write an equation for the 4th degree polynomial graphed below. WebThe chart below summarizes the end behavior of a Polynomial Function. You can leave the function in factored form. So, there is no predictable time frame to get a response. d2y. dt2. + n2y = 0. whose general solution is. y = A cos nt + B sin nt. or as. |x| < 1. or equivalently. y = ATn (x) + BUn (x) |x| < 1. where Tn (x) and Un (x) are defined as Chebyshev polynomials of the first and second kind. of degree n, respectively. An open-top box is to be constructed by cutting out squares from each corner of a 14 cm by 20 cm sheet of plastic then folding up the sides. p of 3/2 is equal to zero, and we also know that p I guess that since polynomials can make curves when put on a graph, it can be used for construction planning. WebMath. WebFinding the x -Intercepts of a Polynomial Function Using a Graph Find the x -intercepts of h(x) = x3 + 4x2 + x 6. to intersect the x-axis, also known as the x-intercepts. Write a formula for the polynomial function. We will use the y-intercept (0, 2), to solve for a. Write an equation for the polynomial graphed below 4 3 2. what is the polynomial remainder theorem? So, to find the polynomial equation we need to, Writing Equations of Polynomial Functions from Graphs. More. Math can be tough, but with a little practice, anyone can master it. For example, x+2x will become x+2 for x0. Specifically, we will find polynomials' zeros (i.e., x-intercepts) and On this graph, we turn our focus to only the portion on the reasonable domain, [latex]\left[0,\text{ }7\right][/latex]. WebInteractive online graphing calculator - graph functions, conics, and inequalities free of charge The x-axis scales by one. Direct link to Tori Herrera's post How are the key features , Posted 3 years ago. Discriptive or inferential, It costs $1,400 to manufacture 100 designer shoes, and $4,100 to manufacture 400 designer shoes. How can i score an essay of practice test 1? What about functions like, In general, the end behavior of a polynomial function is the same as the end behavior of its, This is because the leading term has the greatest effect on function values for large values of, Let's explore this further by analyzing the function, But what is the end behavior of their sum? Yes you can plot a rough graph for polynomial of degree more than 1 within a specific range. find the derivative of the polynomial functions and you will get the critical points. double differentiate them to find whether they are minima or maxima. Now plot points in between the critical points and with free hand plot the graph. For p of three to be equal to zero, we could have an expression like x minus three in the product because this is equal to zero when x is equal to three, and we indeed have that right over there. If f(a) is not = 0, then a is not a zero of the function and (x - a) is not a factor of the function. This lesson builds upon the following skills: On the SAT, polynomial functions are usually shown in, Higher order polynomials behave similarly. Figure out mathematic question. For now, we will estimate the locations of turning points using technology to generate a graph. Direct link to Joseph SR's post I'm still so confused, th, Posted 2 years ago. Direct link to Elammen's post If you found the zeros fo, Posted 6 years ago. The multiplicity of a zero is important because it tells us how the graph of the polynomial will behave around the zero. sinusoidal functions will repeat till infinity unless you restrict them to a domain. Each linear expression from Step 1 is a factor of the polynomial function. Direct link to Michael Vautier's post The polynomial remainder , Posted 2 years ago. These are also referred to as the absolute maximum and absolute minimum values of the function. WebWrite an equation for the polynomial graphed below - Given: The graph of the polynomial is shown below: From the above graph, it can be observed that there are. WebWrite the equation of a polynomial function given its graph. The concept of zeroes of polynomials is to solve the equation, whether by graphing, using the polynomial theorem, graphing, etc. If, Posted 2 months ago. Direct link to sangayw2's post hello i m new here what i. Zero times something, times something is going to be equal to zero. What is the Factor Theorem? Choose all answers that apply: x+4 x +4 A x+4 x +4 x+3 x +3 B x+3 x +3 x+1 x +1 C x+1 x +1 x x D x x x-1 x 1 E x-1 x 1 x-3 x 3 F x-3 x 3 x-4 x 4 WebHow to find 4th degree polynomial equation from given points? polynomial is zero there. For each given zero, write a linear expression for which, when the zero is substituted into the expression, the value of the expression is. Solving each factor gives me: x + 5 = 0 x = 5 x + 2 = 0 x = 2 WebQuestion: Write an equation for the polynomial graphed below Expert Answer Get more help from Chegg COMPANY COMPANY LEGAL & POLICIES LEGAL & POLICIES. Graphs of polynomials either "rise to the right" or they "fall to the right", and they either "rise to the left" or they "fall to the left." WebWrite an equation for the polynomial graphed below y(x) = - One instrument that can be used is Write an equation for the polynomial graphed below y(x) =. 1. The graph curves up from left to right touching the origin before curving back down. Direct link to Kim Seidel's post Linear equations are degr, Posted 5 years ago. How would you describe the left ends behaviour? The remainder = f(a). The annual rainfall in a certain region is approximately normally distributed with mean 40.9 inches WebWrite an equation for the polynomial graphed below 4 3 2. Let's algebraically examine the end behavior of several monomials and see if we can draw some conclusions. Direct link to Kevin's post Why is Zeros of polynomia, Posted 4 years ago. We can estimate the maximum value to be around 340 cubic cm, which occurs when the squares are about 2.75 cm on each side. In this article, we will explore these characteristics of polynomials and the special relationship that they have with each other. Write an equation for the 4th degree polynomial graphed below. If you're seeing this message, it means we're having trouble loading external resources on our website. Find a Polynomial Function From a Graph w/ Least Possible Degree | Linear Factors, Adding and subtracting fractions review worksheet, Factor quadratic equations into two binomials, Factorization of algebraic expressions questions, Find the degree of each monomial calculator, Find three consecutive integers that have a sum of 96, How to find the difference of two squares, How to subtract exponents with different exponents, Solving linear diophantine equations two variables, Transforming linear functions worksheet answers algebra 2. We can see the difference between local and global extrema below. For general polynomials, finding these turning points is not possible without more advanced techniques from calculus. 1. Direct link to QUINN767's post It depends on the job tha, Posted 7 years ago. VIDEO ANSWER: So in this problem, what they want us to do is to write an equation for the polynomial graph below. Learn more about graphed functions here:. WebMath. Question: U pone Write an equation for the 4th degree polynomial graphed below. Direct link to shub112's post Using multiplity how can , Posted 3 years ago. f, left parenthesis, x, right parenthesis, f, left parenthesis, x, right parenthesis, right arrow, plus, infinity, f, left parenthesis, x, right parenthesis, right arrow, minus, infinity, y, equals, g, left parenthesis, x, right parenthesis, g, left parenthesis, x, right parenthesis, right arrow, plus, infinity, g, left parenthesis, x, right parenthesis, right arrow, minus, infinity, y, equals, a, x, start superscript, n, end superscript, f, left parenthesis, x, right parenthesis, equals, x, squared, g, left parenthesis, x, right parenthesis, equals, minus, 3, x, squared, g, left parenthesis, x, right parenthesis, h, left parenthesis, x, right parenthesis, equals, x, cubed, h, left parenthesis, x, right parenthesis, j, left parenthesis, x, right parenthesis, equals, minus, 2, x, cubed, j, left parenthesis, x, right parenthesis, left parenthesis, start color #11accd, n, end color #11accd, right parenthesis, left parenthesis, start color #1fab54, a, end color #1fab54, right parenthesis, f, left parenthesis, x, right parenthesis, equals, start color #1fab54, a, end color #1fab54, x, start superscript, start color #11accd, n, end color #11accd, end superscript, start color #11accd, n, end color #11accd, start color #1fab54, a, end color #1fab54, is greater than, 0, start color #1fab54, a, end color #1fab54, is less than, 0, f, left parenthesis, x, right parenthesis, right arrow, minus, infinity, point, g, left parenthesis, x, right parenthesis, equals, 8, x, cubed, g, left parenthesis, x, right parenthesis, equals, minus, 3, x, squared, plus, 7, x, start color #1fab54, minus, 3, end color #1fab54, x, start superscript, start color #11accd, 2, end color #11accd, end superscript, left parenthesis, start color #11accd, 2, end color #11accd, right parenthesis, left parenthesis, start color #1fab54, minus, 3, end color #1fab54, right parenthesis, f, left parenthesis, x, right parenthesis, equals, 8, x, start superscript, 5, end superscript, minus, 7, x, squared, plus, 10, x, minus, 1, g, left parenthesis, x, right parenthesis, equals, minus, 6, x, start superscript, 4, end superscript, plus, 8, x, cubed, plus, 4, x, squared, start color #ca337c, minus, 3, comma, 000, comma, 000, end color #ca337c, start color #ca337c, minus, 2, comma, 993, comma, 000, end color #ca337c, start color #ca337c, minus, 300, comma, 000, comma, 000, end color #ca337c, start color #ca337c, minus, 290, comma, 010, comma, 000, end color #ca337c, h, left parenthesis, x, right parenthesis, equals, minus, 8, x, cubed, plus, 7, x, minus, 1, g, left parenthesis, x, right parenthesis, equals, left parenthesis, 2, minus, 3, x, right parenthesis, left parenthesis, x, plus, 2, right parenthesis, squared, What determines the rise and fall of a polynomial. WebWrite an equation for the polynomial graphed below. Graph of a positive even-degree polynomial A simple random sample of 64 households is to be contacted and the sample proportion compu f_f(x)=4x^5-5x^3 , but also f_f(x)=3 Solve Now If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. For p of three to be equal to zero, we could have an expression like x minus three in the product because this is equal to zero Transcribed Image Text:Write an equation for the polynomial graphed below 5+ 4- 2. Use k if your leading coefficient is positive and-k if your leading coefficlent Fourth Degree Polynomials. c) What percentage of years will have an annual rainfall of between 37 inches and 43 inches? Well, let's start with a positive leading coefficient and an even degree. %. 5x3 - x + 5x - 12, In a large population, 67% of the households have cable tv. ted. Use k if your leading coefficient is positive and k if your leading coefficient is negative. x, equals, start color #01a995, k, end color #01a995, f, left parenthesis, x, right parenthesis, equals, 0, start color #01a995, k, end color #01a995, left parenthesis, start color #01a995, k, end color #01a995, comma, 0, right parenthesis, y, equals, f, left parenthesis, x, right parenthesis, x, minus, start color #01a995, k, end color #01a995, f, left parenthesis, x, right parenthesis, g, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 3, right parenthesis, left parenthesis, x, plus, 2, right parenthesis, g, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 3, right parenthesis, left parenthesis, x, minus, left parenthesis, minus, 2, right parenthesis, right parenthesis, g, left parenthesis, x, right parenthesis, left parenthesis, x, minus, start color #01a995, 3, end color #01a995, right parenthesis, left parenthesis, x, minus, left parenthesis, start color #01a995, minus, 2, end color #01a995, right parenthesis, right parenthesis, g, left parenthesis, x, right parenthesis, equals, 0, x, equals, start color #01a995, 3, end color #01a995, x, equals, start color #01a995, minus, 2, end color #01a995, start color #01a995, 3, end color #01a995, start color #01a995, minus, 2, end color #01a995, y, equals, g, left parenthesis, x, right parenthesis, 0, equals, g, left parenthesis, x, right parenthesis, left parenthesis, start color #01a995, 3, end color #01a995, comma, 0, right parenthesis, left parenthesis, start color #01a995, minus, 2, end color #01a995, comma, 0, right parenthesis, f, left parenthesis, x, right parenthesis, equals, left parenthesis, x, plus, 4, right parenthesis, left parenthesis, x, minus, 7, right parenthesis, left parenthesis, minus, 4, comma, 0, right parenthesis, left parenthesis, 7, comma, 0, right parenthesis, left parenthesis, 4, comma, 0, right parenthesis, left parenthesis, minus, 7, comma, 0, right parenthesis, left parenthesis, 2, comma, 0, right parenthesis, 2, slash, 3, space, start text, p, i, end text, h, left parenthesis, x, right parenthesis, h, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis, h, left parenthesis, x, right parenthesis, equals, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, minus, 3, right parenthesis, h, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, minus, 3, right parenthesis, h, left parenthesis, x, right parenthesis, equals, left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis, f, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, minus, 4, right parenthesis, start superscript, start color #aa87ff, 2, end color #aa87ff, end superscript, start color #aa87ff, 2, end color #aa87ff, left parenthesis, x, minus, 4, right parenthesis, f, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 1, right parenthesis, start color #aa87ff, left parenthesis, x, minus, 4, right parenthesis, left parenthesis, x, minus, 4, right parenthesis, end color #aa87ff, f, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 3, right parenthesis, left parenthesis, x, minus, 1, right parenthesis, cubed, g, left parenthesis, x, right parenthesis, equals, left parenthesis, x, plus, 1, right parenthesis, cubed, left parenthesis, 2, x, plus, 1, right parenthesis, squared, minus, start fraction, 1, divided by, 2, end fraction, start fraction, 1, divided by, 2, end fraction, f, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, minus, 4, right parenthesis, squared, g, left parenthesis, x, right parenthesis, equals, left parenthesis, x, minus, 1, right parenthesis, squared, left parenthesis, x, minus, 4, right parenthesis, h, left parenthesis, x, right parenthesis, equals, x, squared, left parenthesis, x, minus, 3, right parenthesis, f, left parenthesis, x, right parenthesis, equals, minus, x, cubed, plus, 4, x, squared, minus, 4, x. of three is equal to zero. In which a is the leading coefficient of the polynomial, determining if it is positive(a positive) or negative(a negative). If you use the right syntax, it meets most requirements for a level maths. We can also determine the end behavior of a polynomial function from its equation. To determine what the math problem is, you will need to take a close look at the information given and use your problem-solving skills. Really a great app, it used to take me 2 hours to do my math, now it's a few minutes, this app is amazing I love everything about it, also, it gives you the steps so you understand what you are doing, allowing you to know what to do to get the ones in the test correct. Our team of top experts are here to help you with all your needs. You'll get a, VIDEO ANSWER: So in this problem, what they want us to do is to write an equation for the polynomial graph below. Learn about zeros multiplicities. I've been thinking about this for a while and here's what I've come up with. A cubic function is graphed on an x y coordinate plane. Write an equation for the polynomial graphed below. The top part of both sides of the parabola are solid. Direct link to Hecretary Bird's post Think about the function', Posted a year ago. Direct link to Laila B. Math isn't my favorite. The graph curves up from left to right touching (one, zero) before curving down. And because it's in factored form, each of the parts of the product will probably make our polynomial zero for one of these zeroes. . Mathematics can be a daunting subject for many students, but with a little practice, it can be easy to clear up any mathematic tasks. Direct link to Kim Seidel's post There is no imaginary roo, Posted 6 years ago. What if there is a problem like (x-1)^3 (x+2)^2 will the multiplicity be the addition of 3 and 2 or the highest exponent will be the multiplicity? Wolfram alpha free option does not offer as much detail as this one and on top of that I only need to scan the problem with my phone and it breaks it down for me. The graph curves down from left to right touching the origin before curving back up. the choices have p of x, in factored form where it's very easy to identify the zeros or the x values that would make our All right, now let's Using multiplity how can you find number of real zeros on a graph. [latex]f\left(x\right)=-\frac{1}{8}{\left(x - 2\right)}^{3}{\left(x+1\right)}^{2}\left(x - 4\right)[/latex]. You can click on "I need help!" 4x + 5x - 12 As x gets closer to infinity and as x gets closer to negative infinity. 1 has multiplicity 3, and -2 has multiplicity 2. If f(a) = 0, then a,0 is a zero of the function and (x-a) is a factor of the function. Questions are answered by other KA users in their spare time. We will start this problem by drawing a picture like the one below, labeling the width of the cut-out squares with a variable, w. Notice that after a square is cut out from each end, it leaves a [latex]\left(14 - 2w\right)[/latex] cm by [latex]\left(20 - 2w\right)[/latex] cm rectangle for the base of the box, and the box will be wcm tall. Many questions get answered in a day or so. For problem Check Your Understanding 6), if its "6", then why is it odd, not even? Example Questions. and standard deviation 5.3 inches. Relate the factors of polynomial functions to the. [latex]\begin{array}{l}f\left(0\right)=a\left(0+3\right){\left(0 - 2\right)}^{2}\left(0 - 5\right)\hfill \\ \text{ }-2=a\left(0+3\right){\left(0 - 2\right)}^{2}\left(0 - 5\right)\hfill \\ \text{ }-2=-60a\hfill \\ \text{ }a=\frac{1}{30}\hfill \end{array}[/latex]. Let's plug in a few values of, In fact, no matter what the coefficient of, Posted 6 years ago. Write an equation This gives the volume, [latex]\begin{array}{l}V\left(w\right)=\left(20 - 2w\right)\left(14 - 2w\right)w\hfill \\ \text{}V\left(w\right)=280w - 68{w}^{2}+4{w}^{3}\hfill \end{array}[/latex]. If you're seeing this message, it means we're having trouble loading external resources on our website. Learn what the end behavior of a polynomial is, and how we can find it from the polynomial's equation. Learn about the relationship between the zeros, roots, and x-intercepts of polynomials. Well we have an x plus four there, and we have an x plus four there. Math is all about solving equations and finding the right answer. f_f(x)=4x^5-5x^3 , but also f_f(x)=3 Graphing Polynomial Functions with a Calculator If you're looking for help with your studies, our expert tutors can give you the guidance you need to succeed. WebA: Click to see the answer Q: Write an equation for the polynomial graphed below 5. The middle of the parabola is dashed. polynomial p right over here, you could view this as the graph of y is equal to p of x. Direct link to THALIA GRACE's post how does the point: 1.5 m, Posted 2 years ago. If you take a look, when the line intercepts the x axis, there is: -4, 1.5, and 3. The graph curves up from left to right passing through (one, zero). The bottom part and the top part of the graph are solid while the middle part of the graph is dashed. WebMathematically, we write: as x\rightarrow +\infty x +, f (x)\rightarrow +\infty f (x) +. If the value of the coefficient of the term with the greatest degree is positive then that means that the end behavior to on both sides. WebWrite the equation of a polynomial function given its graph. If you're seeing this message, it means we're having trouble loading external resources on our website. Each x-intercept corresponds to a zero of the polynomial function and each zero yields a factor, so we can now write the polynomial in factored form. I think it's a very needed feature, a great calculator helps with all math and geometry problems and if you can't type it you can take a picture of it, super easy to use and great quality. Nevertheless, a proof is shown below : We see that four points have the same value y=-. Using the Factor Theorem, the equation for the graphed polynomial is: y (x) = 0.125 (x + x - 14x - 24). Here, we will be discussing about Write an equation for the 4th degree polynomial graphed below. There are many different types of mathematical questions, from simple addition and subtraction to more complex calculus. Quite simple acutally. The x-axis scales by one. Yes. So the first thing we need to do is we, Calculate present value of annuity due in excel, Doppler effect enrichment activity answer key, Find the angle between two lines calculator, Find the indicated partial sum calculator, How to do inverse trig functions unit circle, How to find the gradient of a line perpendicular to an equation, How to graph inverse trig functions with transformations. Thank you math app for helping me with math. WebEnter polynomial: Examples: x^2+3x-4 2x^3-3x^2-2x+3 Graph polynomial examples example 1: Sketch the graph of polynomial example 2: Find relative extrema of a function example 3: Find the inflection points of example 4: Sketch the graph of polynomial Search our database of more than 200 calculators Plot quadratic functions WebWrite an equation for the polynomial graphed below. And let's see, we have a two x Direct link to aasthanhg2e's post what is the polynomial re, Posted a year ago. School is meant to prepare students for any career path, including those that have to do with math. Direct link to Timothy (Tikki) Cui's post For problem Check Your Un, Posted 6 years ago.

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