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

Answer:
Yes; the domain values are at regular intervals and the range values have a common factor 4.
Step-by-step explanation:
The domain values are [tex]-5,-4,-3,-2[/tex], we can observe that there is a constant interval of [tex]1[/tex] between successive terms.
The range values from the given table are [tex]0.5,2,8,32[/tex].
We can use any two consecutive terms to determine this common factor.
[tex]r=\frac{2}{0.5}=\frac{8}{2}=\frac{32}{8}=4[/tex].
This common factor makes the graph grow exponentially.
See graph in the attachment