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For the graphed function f(x) = −(5)x − 3 + 2, calculate the average rate of change from x = 3 to x = 4.

For the graphed function f(x) = (5)x 3 + 2, calculate the average rate of change from x = 3 to x = 4. class=

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apologiabiology

just find the slope between the 2 points
slope between (3,1) and (4,-3) is (-3-1)/(4-3)=-4/1=-4

answer is first option

Answer:

-4 is the average rate of change from 3 to 4

Step-by-step explanation:

Given that

\(f(x) =( -5)^{x-3} +2\)

Average rate of change is defined as the fraction of change in f(x) value to change in x value.

Here we have x values as 3 and 4.

To find the average rate of change from x=3 to x=4

Average rate of change = change in f(x)/change in x

Change in x = 4-3 =1

\(f(4) = -5^{4-3} +2 = -3\\f(3) = 1\\f(4)-f(3) = -3-1 =-4\)

Average rate of change = -4/1 = -4

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