list all the asymptotes of the following function, then graph the function. f(x)=4x/(x² - 4) choose the…

list all the asymptotes of the following function, then graph the function. f(x)=4x/(x² - 4) choose the correct asymptotes below. a. x = 4, x = -4, y = 0 b. x = 4, x = -4 c. x = 2, x = -2, y = 0 d. x = 2, x = -2 choose the correct graph below.

list all the asymptotes of the following function, then graph the function. f(x)=4x/(x² - 4) choose the correct asymptotes below. a. x = 4, x = -4, y = 0 b. x = 4, x = -4 c. x = 2, x = -2, y = 0 d. x = 2, x = -2 choose the correct graph below.

Answer

Explanation:

Step1: Find vertical asymptotes

Set denominator equal to 0. Solve $x^{2}-4 = 0$. Factoring gives $(x - 2)(x + 2)=0$. So $x=2$ and $x=-2$ are vertical asymptotes.

Step2: Find horizontal asymptote

Degree of numerator is 1 and degree of denominator is 2. When degree of numerator $<$ degree of denominator, $y = 0$ is the horizontal asymptote.

Answer:

C. $x = 2,x=-2,y = 0$