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.

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

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

What is the vertical and horizontal asymptotes of the rational function below: R(x) = (4x + 5)/(7x + 8)?Question 9Answera.x = -8/7, y = 4/7b.x = -7/8, y = 7/4c.x = 1/8, y = 0d.x = -8, y = 0

Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list of equations.)

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