9
QuizMultiple Choice

Using Exponential Functions — Quiz

Question 9 • Algebraic Reasoning

From the table, determine whether the data shows an exponential function. Explain why or why not. x negative 5 negative 4 negative 3 negative 2 y 0 point 5 2 8 32

Answer
A
Yes; the domain values are at regular intervals and the range values have a common factor 4 .
B
No; the domain values are at regular intervals and the range values have a common factor 4 .
C
No; the domain values are not at regular intervals.
D
Yes; the domain values are at regular intervals and the range values have a common factor 8 .

Explanation

The x-values increase by 1 each time, so they are spaced at regular intervals. The y-values are multiplied by 4 at each step: 0.5 × 4 = 2, 2 × 4 = 8, and 8 × 4 = 32. Therefore, the data show an exponential function, as stated in choice A.

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