Question

A rational function has x = - 4 as a vertical asymptote. What term appears in factored form in the denominator of the function? A. (x-4) B. (x+4) C. x D. cannot determine

Answer 1

A.x+4

Explanation:

We are given that a rational function which has a vertical asymptote at x=-4.

We have to find the term which appears in factored form in the denominator of the function.

We know that

To find the vertical asymptote of a rational function we will substitute the

denominator equal to zero.

Then, solve for x.

The value of x obtained are called vertical asymptotes.

By definition of vertical asymptote

x=-4

x+4=0

x+4 will be appears in factored form in the denominator of the function.