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USPshnik [31]
3 years ago
13

For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0

Average rate of the function: 3

Step-by-step explanation:

The function in this problem is

f(x)=4^{x-1}+2

The average rate of change of a function over an interval (x_1,x_2) is given by

r=\frac{f(x_2)-f(x_1)}{x_2-x_1}

where

f(x_1),f(x_2) are the values of the function calculated in x_1,x_2 respectively

For the function in this problem we have:

x_1=1, so

f(x_1)=f(1)=4^{1-1}+2=4^0+2=1+2=3

x_2=2, so

f(x_2)=f(2)=4^{2-1}+2=4^1+2=4+2=6

So, the average rate of change is

r=\frac{6-3}{2-1}=\frac{3}{1}=3

Learn more about rate of change:

brainly.com/question/4152194

brainly.com/question/12941985

#LearnwithBrainly

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