Answer: Second Option
No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.
Step-by-step explanation:
We have a set of ordered pairs of the form (x, y)
If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.
This means that:
[tex]\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=b[/tex]
This is: [tex]y_2=by_1[/tex]
Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}
Observe that:
[tex]\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}[/tex]
Then the values of y are not multiplied by a constant amount "b"
