Question

HELP ASAP The graph of a function h is shown below. Use the graph to find its average rate of change from x=-7 to x=-5. Simplify your answer as much as possible

Answer 1

Answer:

The average rate of change from x=-7 to x=-5 is -3

Step-by-step explanation:

In order to calculate average rate of change we would have to make the following calculation:

According to the given data we have the following:

x=-7 so, f(-7) is to be calculated in the graph y

x=-5 so, f(-5) is to be calculated in the graph y

Therefore, average rate of change=f(-5)-f(-7)/-5-(-7)

average rate of change=3-9/2

average rate of change=-6/2

average rate of change=-3

The average rate of change from x=-7 to x=-5 is -3

Answer 2

The average rate of change of a function is the unit change of the function.

The average rate of change from x = -7 to x = -5 is -3

The average rate of change is calculated as:

$\mathbf{f'(x) = \frac{f(b) - f(a)}{b - a}}$

The interval is given as: x = -7 to x = -5.

This means that:

a = -5 and b = -7

So, we have:

$\mathbf{f'(x) = \frac{f(-7) - f(-5)}{-7 - -5}}$

This gives

$\mathbf{f'(x) = \frac{f(-7) - f(-5)}{-2}}$

From the graph

f(-7) = 9 and f(-5) = 3.

So, we have:

$\mathbf{f'(x) = \frac{9 - 3}{-2}}$

Subtract

$\mathbf{f'(x) = \frac{6}{-2}}$

Divide

$\mathbf{f'(x) = -3}$

Hence, the average rate of change from x = -7 to x = -5 is -3

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