Philip P. answered • 06/07/18

Effective and Patient Math Tutor

f(x) = (x

^{2}-2x-8)/(x^{2}-9)Factors to:

f(x) = (x+2)(x-4) / (x+3)(x-3)

1) The zeros occur when the numerator is equal to zero. What two values of x make the numerator equal to zero? On of them is x = -2. What is the other value of x?

2) The y-intercept occurs when x = 0. Plug x = 0 into f(x) to compute the answer.

3) The vertical asymptotes occur where the denominator of f(x) equals zero. One of those x = -3. What is the other?

4) The horizontal asymptote occurs at the ratio of the x

^{2}terms in the numerator and denominator, which is y = x^{2}/x^{2}= 1