Question

Identify whether the set of ordered pairs represent an exponential. Explain your answer. x −2 0 2 4 y 4 12 36 108A. exponential functionAs the x-values are increased by a constant amount, the y-values increase by the same amount.B. not an exponential functionAs the x-values are increased by a constant amount, the y-values increase by the same amount.C. not an exponential functionAs the x-values are increased by a constant amount, the y-values are not multiplied by a constant amount.D. exponential functionAs the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

Answer 1

D. exponential function

As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

Explanation:

From the table of values:

x-values

`\begin{gathered} 0-(-2)=2 \\ 2-0=2 \\ 4-2=2 \end{gathered}`

The x-values increase by a constant amount, 2.

y-values

`\begin{gathered} (12)/(4)=3 \\ (36)/(12)=3 \\ (108)/(36)=3 \end{gathered}`

The y-values are multiplied by a constant amount, 3.

From these, we conclude that the set of ordered pairs represents an exponential function.

As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

The correct option is D.