Question

The function y=f(x)is graphed below. What is the average rate of change of the function f(x) on the interval−4≤x≤−1

Answer 1

STEP - BY - STEP EXPLANATION

What to find?

The average rate of change of the given function.

Given:

Step 1

State the average rate of change formula.

`Average\text{ rate of change=}(f(x_2)-f(x_1))/(x_2-x_1)`

Step 2

Determine the values of the function at the given interval.

Let x₁ = -4 and x₂ = -1

Locate f(x₁) and f(x₂) on the graph given.

f(x₁) = 4 and f(x₂)= -2

Step 3

Substitute the values into the formula and simplify.

`Average\text{ rate of change=}(-2-4)/(-1+4)`
`=(-6)/(3)`
`=-2`

ANSWER

Average rate of change = -2