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PLEASE HELP

Let ​ f(x)=x2+6x+11​. What is the average rate of change from x = 5 to x = 8? Enter your answer in the box.

User Sean Wei
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2 Answers

1 vote

The correct answer is 19

PLEASE HELP Let ​ f(x)=x2+6x+11​. What is the average rate of change from x = 5 to-example-1
User Taleb
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3 votes

Answer: The average rate of change is 19.

Step-by-step explanation: The given function is


f(x)=x^2+6x+11.

We are to find the average rate of change from x = 5 to x = 8.

We know that if for a function f(x), f(a) = b and f(c) = d, then the average rate of change from x = a to x = c is given by


A_r=(f(b)-f(a))/(b-a).

For the given function, we have


f(5)=5^2+6*5+11=25+30+11=66,\\\\f(8)=8^2+6* 8+11=64+48+11=123.

Therefore, the average rate of change from x = 5 to x = 8 will be


A-r=(f(8)-f(5))/(8-5)=(123-66)/(3)=(57)/(3)=19.

Thus, 19 is the required average rate of change.

User Ashish Goyal
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