SOLUTION: Can you help me... A) Find the average rate of change of the function f(x)= 1/x+5; x=5, x=15 b) Find the maximum or minimum value of the function f(x) =

Algebra ->  Algebra  -> Functions -> SOLUTION: Can you help me... A) Find the average rate of change of the function f(x)= 1/x+5; x=5, x=15 b) Find the maximum or minimum value of the function f(x) =       Log On

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Question 57439: Can you help me...
A) Find the average rate of change of the function

f(x)= 1/x+5; x=5, x=15
b) Find the maximum or minimum value of the function
f(x) = 1+5x+5x^2
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
A) Find the average rate of change of the function
f(x)= 1/x+5; x=5, x=15
ave. rate of change = [f(15)-f(5)]/[15-5]
=[1/20 - 1/10]/[10]
=[-1/20]/10
=[-1/200]
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b) Find the maximum or minimum value of the function
f(x) = 1+5x+5x^2
min occurs at x=-b/2a= -5/10=-1/2
f(-1/2)=1-(5/2)+(5/4)
=-1/4
min occurs at (-1/2,-1/4)
Cheers,
Stan H.