Question

What is the average rate of change for the following graph over the interval 1 ≤ x ≤ 3?

Answer 1

Answer:

The average rate of change is 1 over 3, or just 1/3. The y-values change 1 unit every time the x-values change 3 units, on this interval!

Answer 2

We want to find the average rate of change of the graph on the interval 1 ≤ x ≤ 3.

The correct option is B: -4

We know that for a given function f(x) the average rate of change on the interval a ≤ x ≤ b is given by:

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

Here we have the interval  1 ≤ x ≤ 3, and by looking at the graph we can see that:

f(3) = 1

f(1) = 9

Then the average rate of change is:

$\frac{1 - 9}{3 - 1} = -4$

So the correct option is B.

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