Question

For the graphed exponential equation, calculate the average rate of change from x = 0 to x = 1.

Answer 1

The average rate of change is 4x

Answer 2

The average rate of change from x = 0 to x = 1 is 4.

Explanation:

From the given graph it is noticed that the value of the function f(x) is -1 at x=0 and the value of the function is 3 at x=1.

`f(0)=-1`

`f(1)=3`

The average rate of change of a function from x₁ and x₂ is

`m=(f(x_2)-f(x_1))/(x_2-x_1)`

`m=(f(1)-f(0))/(1-0)`

`m=(3-(-1))/(1)=4`

Therefore the average rate of change from x = 0 to x = 1 is 4.