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Mariana [72]
3 years ago
6

Find the average rate of change of the function

Mathematics
2 answers:
lubasha [3.4K]3 years ago
5 0
Average rate of change=change in f(x)/ change in x=(f(x₂)-f(x₁)) / (x₂-x₁)
Data:
f(x)=x²+3x
x₁=4
x₂=9

Average rate of change=((9²+3*9) - (4²+3*4)) / (9-4)=
=((81+27)-(16+12)) / (9-4)=
=(108-28)/5=80/5=16.

Answer: The average rate of change is 16.
8090 [49]3 years ago
4 0
The average rate of change from an interval from x_1 to x_2 is the change in the value of the function divided by the change in x.

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

Let's find the values of f(x_1) and f(x_2)

f(x_1)=4^2+3(4)=28
f(x_2)=9^2+3(9)=108

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

=\dfrac{108-28}{9-4}=\boxed{16}

Your answer is 16. I hope this helps and have an awesome day! :)
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This question includes some misspelled words; here is the correct question:

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What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.​
Marat540 [252]

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-1

Step-by-step explanation:

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alexgriva [62]

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