Question

What is the average rate of change for this quadratic function for the interval
from x = 0 to x = 3?
5
A. 2
Ο Ο O
B. 6
O
C. 3
O D. 4

Answer 1

The average rate of change of the graphed quadratic function is its slope

The average rate of change over the interval is 2

How to determine the average rate of change?

The interval is given as:

x = 0 to x = 3

From the graph, we have:

When x = 0, f(0) = -6

When x = 3, f(3) = 0

The average rate of change is calculated as:

$m = \frac{f(b) - f(a)}{b - a}$

So, we have:

$m = \frac{0 - -6}{3 - 0}$

Evaluate the quotient

$m= 2$

Hence, the average rate of change over the interval is 2

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