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  • 08-11-2020
  • Mathematics
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The graph of a function f is shown. Use the graph to estimate the average rate of change from x=-2 to x=0

The graph of a function f is shown Use the graph to estimate the average rate of change from x2 to x0 class=

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akposevictor
akposevictor akposevictor
  • 14-11-2020

Answer:

2

Step-by-step explanation:

Given:

The interval, x = -2 to x = 0.

Required:

Average rate of change from x = -2 to x = 0.

SOLUTION:

From the graph,

If x = -2, f(-2) = 0.

If x = 0, f(0) = 4

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = -2, f(a) = 0 [/tex]

[tex] b = 0, f(b) = 4 [/tex]

Plug in the values into the formula:

[tex] = \frac{4 - 0}{0 -(-2)} [/tex]

[tex] = \frac{4}{2} = 2 [/tex]

Average rate of change from x = -2 to x = 0 is 2.

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