Question

At which values of X does the function F(x) have a vertical asymptote? Check all that apply.

Answer 1

ANSWER

A. 1

D. 8

EXPLANATION

The vertical asymptote occurs at where the denominator of a rational function in its simplest form is equal to zero.

The rational function given is

$p(x) = \frac{9}{(x - 1)(x - 8)}$

This rational function is in it's simplest form.

The vertical asymptotes occurs at

$(x - 1)(x - 8) = 0$

By the zero product principle, we must have either

$(x - 1) = 0 \: \: or \: \: (x - 8) = 0$

This implies that

$x =1\: \: or \: \: x = 8$

Options A and D are correct.

Answer 2

Answer:

A. 1 AND  D. 8 ARE CORRECT

Step-by-step explanation:

A P E X