Question

What is the average rate of change of the function f(x) = 4x - 2 over the interval [2, 4]? Enter your answer in the box. average rate of change =

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

f(x) = 4x - 2

interval [2, 4]

average rate of change = ?

Step 02:

x = 2

f(2) = 4(2) - 2 = 8 - 2 = 6

x = 4

f(4) = 4(4) - 2 = 16 - 2 = 14

`(\Delta y)/(\Delta x)=\frac{f(x2)\text{ -f(x1)}}{x2-x1}`
`(\Delta y)/(\Delta x)=(14-6)/(4-2)=(8)/(2)=4`

The answer is:

The average rate of change is 4.