Question

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

Answer 1

a

Explanation:

Answer 2

Option a. No; the domain values are at regular intervals and the range values have a common sum 1.

Explanation:

x1=3, x2=1, x3=-1, x4=-3

y1=1, y2=2, y3=3, y4=4

x1-x2=3-1→x1-x2=2

y2-y1=2-1→y2-y1=1

x2-x3=1-(-1)=1+1→x2-x3=2

y3-y2=3-2→y3-y2=1

x3-x4=-1-(-3)=-1+3→x3-x4=2

y4-y3=4-3→y4-y3=1

The data doesn't show an exponential function, because the domain values are at regular intervals and the range values have a common sum 1.