Question

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

x
3
2
1
–1
y
8
2
0.5
0.125

Answer 1

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.