Question

From the table below, determine whether the data shows an exponential function. Explain why or why not.

Answer 1

B

Explanation:

Answer 2

Yes; the domain values are at regular intervals and the range values have a common factor 4.

Explanation:

The domain values are
`-5,-4,-3,-2`, we can observe that there is a constant interval of
`1` between successive terms.

The range values from the given table are
`0.5,2,8,32`.

We can use any two consecutive terms to determine this common factor.

`r=(2)/(0.5)=(8)/(2)=(32)/(8)=4`.

This common factor makes the graph grow exponentially.

See graph in the attachment