Consider the following rational function a What is the is th

Consider the following rational function: (a) What is the is the equation of horizontal asymptote? y = No oblique asymptote. (b) What is the equation of the oblique asymptote(s)? y = No oblique asymptote. (c) What is the equation of the vertical asymptote(s)? x = No vertical asymptote. (d) What is the y-intercept(s) of this rational function? y = f does not have y-int(s). (e) What is the x-intercept(s) of this rational function? x = f does not have x-int(s). (f) What is the domain of the above rational function?

Solution

Asymptode is the line which meets graph as it tends towards infinity.

A) y=1 , evident from graph.

B) No oblique asymptode can be seen

C) x=2 and x=-2

D) Y intercept is the value of function at x=0.

So, y intercept is 0 as the function passes through origin.

E) similarly, x intercept =0

F) function is not defined at x=+2,-2.

So domain is x € R-{2,-2}.