Question

which of the following terms completes the sentence below?
to fill out a functions ____ __, you will need to use test numbers before and after each of the functions ____ and asymptotes.
a. sign chart; values
b. sign chart; zeros
c. rational equation; zeros
d. rational equation; values

Explanation:

A sign chart is used to determine the sign of a function in different intervals. To create a sign chart, we use test numbers in the intervals separated by the function's zeros (where the function equals zero) and asymptotes (where the function is undefined or has a vertical/horizontal asymptote). A rational equation is an equation involving rational functions, which is not relevant here. Also, using "values" is incorrect as we specifically use zeros to divide the number - line for the sign - chart.

Answer:

B. sign chart; zeros