SOLUTION: Given the function f(x) = x^2 - x find the AVERAGE RATE of CHANGE of f from 3 to 5

Question 154214: Given the function f(x) = x^2 - x find the AVERAGE RATE of CHANGE of f from 3 to 5
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Plug in

Square 3 to get 9

Subtract

So the point (3,6) is on the graph

----------

Start with the given equation.

Plug in

Square 5 to get 25

Subtract

So the point (5,20) is on the graph

So the average rate of change from x=3 to x=5 is simply the slope of the line that goes through the points (3,6) and (5,20)

So let's find the slope of the line that goes through the points (3,6) and (5,20)

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points

and

is

Since the slope is 7, this means that the average rate of change from x=3 to x=5 is 7
RELATED QUESTIONS
Given the function f(x) = - 4x find the AVERAGE RATE of CHANGE of f from -4 to... (answered by stanbon)

Given the function, f(x)=-4, find the average rate of change from x=0 to x=15. (answered by Fombitz)

Find the average rate of change for the function between the given values. f(x) =... (answered by Alan3354)

find the average rate of change for the function between the given values f(x)= 3/x-2... (answered by Fombitz)

Find the average rate of change for the function between the given values. f(x)= 3/x-2 (answered by jim_thompson5910)

Find the average rate of change of f(x) = ln(x-2), as x goes from 3 to... (answered by swincher4391)

find the average rate of change for the function f(x)=x^3+x from 1 to... (answered by oscargut)

For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to... (answered by nerdybill)

Find the average rate of change of the function from x1 to x2. Function (answered by stanbon)