Question

Create a function whose graph has the given characteristics. (There is more than one correct answer.)

Vertical asymptote:  x = 3

Horizontal asymptote:  y = 0

Answer 1

Step 1 :

Vertical asymptote : .

Horizontal asymptote : .

The function has vertical asymptote at , if and only if the denominator is zero at .

The function has horizontal asymptote at , if the degree of the denominator is greater than the degree of numerator.

Hence, consider the function .

Step 2 :

Graph of the function :

Solution :

The function is .