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

Answer:

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

Step-by-step explanation:

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

The formula for rate of change is

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

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

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

$m=\frac{0-3}{3}$

$m=\frac{-3}{3}$

$m=-1$

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

Answer 2

Answer:

-1

Step-by-step 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