Question

If a rational function is proper, then______ is a horizontal

asymptote.

Short answer

If a rational function is proper, then $\mathit{y}\mathbf{=}\mathbf{0}$is a horizontal

asymptote.

Step-by-step solution

Step 1. Given information

The given statement is "

If a rational function is proper, then______ is a horizontal

asymptote."

Step 2. Fill in the blank

We know that for proper rational function the degree of the numerator is less than the degree of the denominator and the horizontal asymptote of the proper function is $y=0$.

So,

If a rational function is proper, then$\mathit{y}\mathbf{=}\mathbf{0}$ is a horizontal

asymptote.