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Question 4 of 10Which of the following terms completes the sentence below?To fill out a function's _____ _____, you will need to use test numbers before and after each of the function's _____ and asymptotes.A.rational equation; zerosB.sign chart; zerosC.sign chart; valuesD.rational equation; values

Question

Question 4 of 10Which of the following terms completes the sentence below?To fill out a function's _____ _____, you will need to use test numbers before and after each of the function's _____ and asymptotes.A.rational equation; zerosB.sign chart; zerosC.sign chart; valuesD.rational equation; values

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Solution

The correct answer is B. sign chart; zeros.

Here's why:

To determine the behavior of a function, we often use a sign chart. A sign chart is a graphical tool used in mathematics to decide the sign of a function or its derivative. It helps us understand where the function is positive or negative.

Zeros of a function are the x-values for which the function equals zero. These are the points where the graph of the function crosses or touches the x-axis.

So, to fill out a function's sign chart, you will need to use test numbers before and after each of the function's zeros and asymptotes. This allows you to determine the behavior of the function in those intervals.

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