Question

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

Answer 1

Answer:

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

Step-by-step 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

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

$m=\frac{f(1)-f(0)}{1-0}$

$m=\frac{3-(-1)}{1}=4$

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

Answer 2

The average rate of change is 4x