Question

Use the graph below to answer the following question: graph of parabola going through 1, 3, 3, negative 1, and 4, 0 What is the average rate of change from x = 1 to x = 4?

Answer 1

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

Explanation:

It is given that the graph of parabola going through (1,3), (3,-1), (4,0).

The formula for rate of change is

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

We have to find the average rate of change from x = 1 to x = 4.

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

`m=(0-3)/(3)`

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

`m=-1`

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

Answer 2

-1

Explanation:

The two points you're concerned with are (1, 3) and (4, 0). The average rate of change is

... (average rate of change) = (change in y)/(change in x) = (0 -3)/(4 -1) = -3/3

... (average rate of change) = -1