Question

6.10.3 quiz: graphing rational functions
question 8 of 10
which of the following terms completes the sentence below?
a sign chart helps you record information about the functions values around its __ and __.
a. zeros; horizontal asymptotes
b. ones; vertical asymptotes
c. ones; horizontal asymptotes
d. zeros; vertical asymptotes

Explanation:

A sign chart is used to analyze the behavior of a rational function. The zeros of a function (where the function value is \(0\)) and vertical asymptotes (where the function is undefined and the denominator is \(0\)) are key points. Horizontal asymptotes describe the end - behavior of the function as \(x\to\pm\infty\) and are not relevant for the local behavior around specific points that a sign chart focuses on. "Ones" are not relevant in this context.

Answer:

D. zeros; vertical asymptotes