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frosja888 [35]
3 years ago
13

Find the average rate of change from x = 2 to x = 6 for the function f(x) = 3^x and select the correct answer below.

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0
<h3>Answer:  Choice A) 180</h3>

======================================================

Work Shown:

f(x) = 3^x

a = 2 = lower value of the interval

b = 6 = upper value of the interval

c = average rate of change of f(x) from a to b

c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula

c = ( f(6) - f(2) )/(6 - 2)

c = ( 3^6 - 3^2 )/4

c = ( 729 - 9 )/4

c = 720/4

c = 180

The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180

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<u>Step-by-step explanation:</u>

We know that:

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<u>Now, let's substitute the value of b into any equation.</u>

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