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Given the function, f(x) = 2x2 - x + 1, calculate the average rate of change of the function from x = 1 to x = 3.

7
14
16
28

2 Answers

3 votes
the answer to you question I think is 7
User Matyas
by
8.4k points
4 votes

Answer:

Option 1.

Explanation:

The given function is


f(x)=2x^2-x+1

We need to find the average rate of change of the function from x = 1 to x = 3.

At x=1,


f(1)=2(1)^2-(1)+1=2

At x=3,


f(3)=2(3)^2-(3)+1=16

The average change of a function f(x)on the interval [a,b] is


m=(f(b)-f(a))/(b-a)

The average rate of change of the function from x = 1 to x = 3 is


m=(f(3)-f(1))/(3-1)


m=(16-2)/(2)


m=(14)/(2)


m=7

The average rate of change of the function from x = 1 to x = 3. Therefore the correct option is 1.

User BlueStarry
by
8.4k points

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