4
QuizMultiple Choice

Use Exponential Functions

Question 4 • 25-26 CRX Math Models with Applications 7052A

From the table below, determine whether the data shows an exponential function. Explain why or why not. x321–1y820.50.125

Answer
A
No; the domain values are at regular intervals and the range values have a common factor 0.25.
B
No; the domain values are not at regular intervals although the range values have a common factor.
C
Yes; the domain values are at regular intervals and the range values have a common factor 4.
D
Yes; the domain values are at regular intervals and the range values have a common factor 0.25.

Explanation

The x-values are 3, 2, 1, and −1, so their consecutive differences are −1, −1, and −2; they are not equally spaced. The y-values do have a common ratio: 2/8 = 0.25, 0.5/2 = 0.25, and 0.125/0.5 = 0.25. Since the domain values are not at regular intervals, the data do not establish an exponential function, so choice B is correct.

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