Question

Function f is an exponential function.

X I Y
-4 I 3/16
-2 I 3/4
0 I 3
2 I 12
4 I 48


By what factor does the output value increase as each input value increases by 1?
 
Enter your answer in the box.

Answer 1

We are asked for the multiplicative rate of change which can be solved by
MROC = (y2/y1) / (x2 - x1)

Since the given data belong to an exponential function, any consecutive data pairs can be chosen
MROC = (3/4 / 3/16) / (-2 - (-4))
MRCO = 2

The multiplicative rate of change is 2.