Question

Use the graph below to answer the following question:

What is the average rate of change from x = 1 to x = 4?

A) –3
B) –1
C) 1
D) 3

Answer 1

Answer: OPTION B

Explanation:

As you can see in the graph, when x=1, y=3 and when x=4, y=0

Then, draw a line that cut the points (1,3) and (4,0), as you can see in the image attached, and calculate the slope (which represents the average rate of change of the function), with the following formula:

`m=(y_2-y_1)/(x_2-x_1)=(0-3)/(4-1)=-1`

Therefore, the aswer is the option B.

Answer 2

ANSWER

B) -1

EXPLANATION

From the graph,

f(1)=3 and f(4)=0.

The average rate of change from x=1 to x=4 of this function is,


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

Substitute the functional values


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

Simplify


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

The correct choice is .