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tino4ka555 [31]
3 years ago
10

Find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2

Mathematics
1 answer:
jeka943 years ago
4 0

Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7

Step-by-step explanation:

We need to find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2

The formula used to find the change of average rate is:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Where b= -2 and a= -5

Finding f(b) and f(a)

f(b)=f(-2)=(-2)^2+2=4+2=6

f(a)=f(-5)=(-5)^2+2=25+2=27

Putting values in the formula:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}\\Rate\,\,of\,\,change=\frac{6-27}{(-2)-(-5)}\\Rate\,\,of\,\,change=\frac{-21}{-2+5}\\Rate\,\,of\,\,change=\frac{-21}{3}\\Rate\,\,of\,\,change=-7

Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7

Keywords: Average Rate of change

Learn more about Average Rate of change at:

  • brainly.com/question/10699220
  • brainly.com/question/3071107
  • brainly.com/question/13053630

#learnwithBrainly

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Answer:

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