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Question 4 of 10To make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb:The function has a vertical asymptote at every x-value where its denominator is zero, and you can make a table for each vertical asymptote to find out what happens to the function there.A.TrueB.False

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Question 4 of 10To make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb:The function has a vertical asymptote at every x-value where its denominator is zero, and you can make a table for each vertical asymptote to find out what happens to the function there.A.TrueB.False

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Solution

A. True

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To make a sketch of any rational function whose numerator is a number and whose denominator is a factored polynomial, use the following rule of thumb:The function has a vertical asymptote at every x-value where its denominator is zero, and the function is always negative between two asymptotes.A.TrueB.FalseSUBMITarrow_backPREVIOUS

Task 4.The following graph represents a rational function.(i) Identify the horizontal and vertical asymptotes (if any). Explain how you would find horizontal and vertical asymptotes of any rational function mathematically.(ii) Identify the zeros of the rational function.(iii) Identify the rational function.

Question 4 of 10Which of the following terms completes the sentence below?To fill out a function's _____ _____, you will need to use test numbers before and after each of the function's _____ and asymptotes.A.rational equation; zerosB.sign chart; zerosC.sign chart; valuesD.rational equation; values

Question 1 of 10If the equation of a function is a rational expression, the function is rational.A.TrueB.False

Explain how you would find horizontal and vertical asymptotes of any rational function mathematically.

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