corbinrodriguez825 corbinrodriguez825
  • 01-02-2024
  • Mathematics
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The table shows the values of a function f(x). What is the average rate of change of f(x) from −2 to 2? xf(x) ​−2​25 ​−1​24 021 116 29 30 Enter your answer in the box.

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tpam43335
tpam43335 tpam43335
  • 01-02-2024

Answer:

-4

Step-by-step explanation:

The values of f(x) given in the table are:

f(-2) = 25

f(-1) = 24

f(0) = 21

f(1) = 16

f(2) = 9

To find the average rate of change from -2 to 2, we subtract the value of f(-2) from the value of f(2) and divide it by the difference in the x-values (2 - (-2) = 4).

Change in f(x) = f(2) - f(-2) = 9 - 25 = -16

Change in x = 2 - (-2) = 4

Average rate of change = Change in f(x) / Change in x = -16 / 4 = -4

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