SOLUTION: For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to 4.

Question 944431: For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to 4.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
For the function f(x) = -x^2+3x+5 , find the average rate of change of f from 1 to 4.
.
when x = 1:
f(1) = -1^2+3(1)+5 = -1+3+5 = 7
first point: (1,7)
.
when x = 4:
f(4) = -4^2+3(4)+5 = -16+12+5 = 9
second point: (4,9)
.
"average rate of change" is essentially the slope between the two points:
rise/run=(y2-y1)/(x2-x1) = (9-7)/(4-1) = 2/3
.
answer: 2/3

RELATED QUESTIONS
Find the average rate of change of f(x)=-x^3+3x^2 from x=-1 to... (answered by MathLover1)

Given the function f(x) = x^2 - x find the AVERAGE RATE of CHANGE of f from 3 to... (answered by jim_thompson5910)

Given the function f(x) = - 4x find the AVERAGE RATE of CHANGE of f from -4 to... (answered by stanbon)

For the function, find the average rate of change of f from 1 to x: f(x)-f(1)/x-1,x... (answered by stanbon)

Find the average rate of change for the function. f(x)=1/x-3 between x=-4 and x=2 (answered by Alan3354)

For the function, find the average rate of change of f from 1 to x. [f(x) - f(1)] / x-1 (answered by stanbon)

For the function, find the average rate of change of f from 1 to x: f(x)-f(1)/x-1, x=1 (answered by Alan3354)

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

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