Question

Calculate the average rate of change for the given function, from x = 1 to x = 4.

x f(x)
−1 | 0
1 | 4
4 | 10

A) -1/2
B) 1/2
C) -2
D) 2

Answer 1

Answer:

The correct answer option is D) 2.

Step-by-step explanation:

We are given the value of x and f(x) in a table and we are to find the average rate of change for the given function from x = 1 to x = 4.

To find that, we will calculate the ration of change in y to change in x.

Average rate of change = $\frac { 1 0 - 0 } { 4 - ( - 1 ) } = \frac { 1 0 } { 5 }$ = 2