Plot the function below and list its asymptotes if any fx So

Plot the function below and list its asymptotes, if any.

Solution

f(x) = 1/x^2 + 1

since degree of denominator is greater than numerator the horizontal asymptote is y=0

to find vertical asymptote set denominator equal to 0

x^2 + 1 = 0

x =+ - i

there are no vertical asymptotes

graph shown below