Question

Write a rational function that has at least two vertical asymptotes, one hole, and one horizontal asymptote. Write the function in factored form and then write it in standard form. List the vertical asymptotes, the horizontal asymptote and the hole. Describe the end behavior of the function.

Answer 1

Answer:

I will not write this for you but I will tell you how to write it.

Horizontal asymptotes: the denominator must have a term in x with exponent greater than or equal to the largest power of x in the numerator; then there will be 2 asymptotes one in each direction with same sign if the net  power of x in the denominator is even and opposite signs if the net power of x in the denominator is odd.

Vertical asymptotes will occur at zeros of the denominator (factor of x-a) with no matching factor in the numerator.

Hole: there must be a factor of x-a in both the numerator and denominator.

Step-by-step explanation: