SOLUTION: f(x)=x^2-2x
a) Find the average rate of change of f from 1 to x.
f(x) - f(1)
--------- (x does not = 1)
Algebra.Com
Question 40251This question is from textbook College Algebra
: f(x)=x^2-2x
a) Find the average rate of change of f from 1 to x.
f(x) - f(1)
--------- (x does not = 1)
x - 1
b) Use result from part (a) to compute the average rate of change from x = 1 to x = 2.
c) Find an equation of the secant line containing (1, f(1)) and (2, f(2))
This question is from textbook College Algebra
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
f(x)=x^2-2x
a) Find the average rate of change of f from 1 to x.
f(x) - f(1)
--------- (x does not = 1)
x - 1
AVG R.O.C.={(X^2-2X)-(1^2-2*1)}/(X-1)=(X^2-2X+1)/(X-1)=(X-1)^2/(X-1)...SINCE X IS NOT EQUAL TO 1,WE CAN DIVIDE WITH X-1 TO GET
R.O.C.=(X-1)
b) Use result from part (a) to compute the average rate of change from x = 1 to x = 2.
R.O.C.AT X=2....
2-1=1
c) Find an equation of the secant line containing (1, f(1)) and (2, f(2))
EQN IS
(Y-F(1)}/{F(2)-F(1)}={(X-1)/(2-1)}
F(1)=1^2-2*1=-1
F(2)=2^2-2*2=0
SUBSTITUTING
(Y+1)/1=(X-1)/(2-1)=X-1
Y+1=X-1
Y=X-2
RELATED QUESTIONS
For the function, find the average rate of change of f from 1 to x.
[f(x) - f(1)] / x-1 (answered by stanbon)
11- Show work, for the function f(x)=x³+x, find the average rate of change of f from 1 to (answered by swincher4391,ewatrrr)
Find the average rate of change of f (x)=-x^2+2x+9 from x=-3 to... (answered by ikleyn)
find the average rate of change of f(x)=x^2+6:
a. from 1 to 3
b. from 2 to 4
c. from (answered by Alan3354)
For the function, find the average rate of change of f from 1 to x:
f(x)-f(1)/x-1, x not (answered by stanbon)
Find the average rate of change of F(x)=3x^3-2x^2-3 from x=-1 to x=2 (answered by Alan3354)
If f(x) = -4x + 1, find the average rate of change from -2 to... (answered by richard1234)
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)
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)