Which graph represents the function f(x)=5-5x2/x2?

Note: When degrees of top and bottom are same, the Horizontal asymptote would be the ratio of leading coefficients of top and bottom.Given rational function: f(x) = .

We need to explain, which graph is correct graph for the given rational function.

Let us find some properties for the given  rational function: f(x) = .

Let us find vertical asymptote first.

In order to find vertical asymptote, we need to set denominator expression equal to 0 and solve for x.

Therefore

x^2 =0

x =0.

Let us find Horizontal asymptote now.

We have leading coefficient of top is -5 and leading coefficient of bottom is 1.

Let us find the graph with vertical asymptote at x=0 and Horizontal Asymptote y =-5.

f(x)=4

step-by-step explanation:

8

step-by-step explanation: