Question

the rate of change of function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1. Is function g linear, quadratic or exponential?

Answer 1

We conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.

Thus, the function is linear.

Explanation:

We know that the rate of change remains constant for a linear function.

• In other words, the rate of change does not change for the entire domain of a linear function.

Comparing with the slope-intercept form

The slope-intercept form of a linear function is

`y = mx+b`

where m is the slope or rate of change

For example, considering the linear function

`y = 6x + 4`

Then the average rate of change is 6 over any interval selected.

Therefore, we conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.

Thus, the function is linear.