Question

What is the average rate of change of f over the interval [-1, 4] Give an exact number.

Answer 1

Answer:

  1.4

Step-by-step explanation:

The average rate of change is the "rise" divided by the "run".

  rise/run = (f(4) -f(-1))/(4 -(-1)) = (0 -(-7))/(4+1)

  rise/run = 7/5 = 1.4

The average rate of change on the interval [-1. 4] is 1.4.

Answer 2

We will see that the average rate of change in the given interval is 1.4

How to find the average rate of change?

For a given function f(x), the average rate of change on an interval [a, b] is given by:

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

In this case the interval is [-1, 4], using the graph we can see that:

f(-1) = -7

f(4) = 0

replacing that in the formula we get:

$r = \frac{0 - (-7)}{4 - (-1)} = \frac{7}{5} = 1.4$

If you want to learn more about rates of change, you can read:

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