Question

Write a function that fits the following criteria: 1. Vertical asymptotes at 2 and 62. Zero at 53. Hole at (4 , 1)

Answer 1

From the information provided we will have that the function that has all the criteria is:

`f(x)=(4(x-4)(x-5))/((x-4)(x-2)(x-6))`

This is due to the fact that there vertical asymptotes are given by the zeros on the expression found in the denominator [(x - 4) is removable since is present in both the numeator and denominator of the expression]. The zero for the whole function is given on the numerator. And the discontinuity is given by the removable value in the denominator and numerator. [Option C]