Function f is an exponential function. x −2 0 2 4 6 f(x) 164 116116 14 1 4 by what factor does the output value increase as each input value increases by 1?

2

Step-by-step explanation:

The numbers we have for the outputs are

1/64, 1/16, 1/4, 1, 4

Between each successive number we are given, the factor it is increased by is 4.  This is because we multiply 1/64 by 4 to get 1/16; multiply 1/16 by 4 to get 1/4; multiply 1/4 by 4 to get 1; and multiply 1 by 4 to get 4.

We also see that each output we are given is for an input value increase of 2.  To find the factor increased by for an input increase of 1, divide by 2:

4/2 = 2

step-by-step explanation: