Question

This table shows the input and output values for an exponential function f(x).

What is the ratio of outputs for any two inputs that are one value apart?

−2

4

−12

2

x −3 −2 −1 0 1 2 3
f(x) −18 −14 −12 −1 −2 −4 −8

Answer 1

According to the table given, the rate of change of the outputs for any two inputs that are one value apart is of 4.

• The rate of change of a function is given by the change in the output divided by the change in the input.

In the table given, the input is x and the output is f(x). It can be seen that when 1 is added to x, 4 is added to y, hence, the rate of change is of 4.

To learn more about the rate of change of a function, you can take a look at https://brainly.com/question/24313700