graph f and identify any asymptotes. f(x) = 5 / x^2 select the correct choice below and, if necessary, fill…

graph f and identify any asymptotes. f(x) = 5 / x^2 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the equation(s) of the vertical asymptote(s) is/are x = 0. (type an exact answer using radicals as needed. use a comma to separate answers as needed.) b. there is no vertical asymptote. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the equation(s) of the horizontal asymptote(s) is/are y = . (type an exact answer using radicals as needed. use a comma to separate answers as needed.) b. there is no horizontal asymptote.

graph f and identify any asymptotes. f(x) = 5 / x^2 select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the equation(s) of the vertical asymptote(s) is/are x = 0. (type an exact answer using radicals as needed. use a comma to separate answers as needed.) b. there is no vertical asymptote. select the correct choice below and, if necessary, fill in the answer box to complete your choice. a. the equation(s) of the horizontal asymptote(s) is/are y = . (type an exact answer using radicals as needed. use a comma to separate answers as needed.) b. there is no horizontal asymptote.

Answer

Explanation:

Step1: Find vertical asymptote

Set denominator equal to 0. For $f(x)=\frac{5}{x^{2}}$, $x^{2}=0$ gives $x = 0$.

Step2: Find horizontal asymptote

Degree of numerator is 0 and degree of denominator is 2. When degree of denominator > degree of numerator, $\lim_{x\rightarrow\pm\infty}\frac{5}{x^{2}}=0$. So $y = 0$ is horizontal - asymptote.

Answer:

A. The equation(s) of the vertical asymptote(s) is/are x = 0. A. The equation(s) of the horizontal asymptote(s) is/are y = 0.