Question

Use the table to calculate the average rate of change of f(x) over the interval [0,4].

x f(x)
−4 1
−3 2
−2 4
−1 8
0 16
1 32
2 64
3 128
4 256
















Enter your answer as a number, like this: 42

Answer 1

As usual, it is (f(4)-f(0))/(4-0) = (256-16)/4 = ____

Answer 2

[AI-generated answer — Explain Bot]

To calculate the average rate of change of f(x) over the interval [0,4], we can use the formula:

Average Rate of Change = (f(4) - f(0)) / (4 - 0)

First, let's find the value of f(4) and f(0) from the table:

f(4) = 256
f(0) = 16

Now, we can substitute these values into the formula:

Average Rate of Change = (256 - 16) / (4 - 0)
= 240 / 4
= 60

Therefore, the average rate of change of f(x) over the interval [0,4] is 60.