Question

The graph of an exponential function, f(x), is shown. Move numbers to the blanks to describe how f(x) increases and grows over different intervals. The function f(x) increases by over the interval 0 to 1, by over the interval of 1 to 2, by over the interval of 2 to 3, and by over the interval of 3 to 4. Therefore, this exponential function grows by a factor of over every interval of 1. 1 2 3 4 5 6 8 9 13 17

Answer 1

By looking at the graph we can see that f(x) increase by 1 (on the vertical axis . or y-axis ) from 2 to 3, over the interval 0 to 1 ( horizontal axis, or x-axis)

It increases by 2 over the interval 1 to 2.

by 4 over the interval 2 to 3.

And by 8 over the interval 3 to 4.

Therefore this exponential function grows by a factor of 2 (since it doubles every by every interval of 1)