Question

What is the average rate of change over the interval [0, 4]?

Answer 1

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Given:

Interval, [0, 4]

Required:

Average range of change over [0, 4]

SOLUTION:

Find f(0) and f(4) from the graph:

$f(0) = 0$ (when x = 0, y = 0)

$f(4) = 3$ (when x = 4, y = 3)

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 0, f(a) = 0$

$b = 4, f(b) = 3$

Plug in the values into the formula for average rate of change.

$= \frac{3 - 0}{4 - 0}$

$= \frac{3}{4}$

Average rate of change $= \frac{3}{4}$