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Maximums and minimums

by ryan.1015
Tags: maximums, minimums
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ryan.1015
#1
Nov23-08, 12:45 AM
P: 14
1. The problem statement, all variables and given/known data

suppose that g is a function defined and continuous on (-2,2) and that g" exists on the open interval (-2,2). if g(-2)=1 and g">4 for all x in (-2,2), how large can g(1) possibly be?

2. Relevant equations



3. The attempt at a solution
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Pere Callahan
#2
Nov23-08, 02:33 AM
P: 587
You must show your work, before we can help you. Any ideas?
ryan.1015
#3
Nov23-08, 07:52 PM
P: 14
i have no idea. we havent done these type of problems before. usually he just gives us an equation and just asks us to find the max

ryan.1015
#4
Nov23-08, 07:53 PM
P: 14
Maximums and minimums

i have no idea. we havent done any problems like this before. Usually he just gives us an equation and asks for the max
HallsofIvy
#5
Nov24-08, 06:35 AM
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PF Gold
P: 39,345
Same thing but I would have said "nn is NOT an "exponential" function."
Pere Callahan
#6
Nov24-08, 07:34 AM
P: 587
What about g(x)=1-4n+(x+6)n for n greater or equal to 3?
Mark44
#7
Nov24-08, 08:28 AM
Mentor
P: 21,215
Quote Quote by HallsofIvy View Post
Same thing but I would have said "nn is NOT an "exponential" function."
I think your reply pertains to a different question...

What about g(x)=1-4n+(x+6)n for n greater or equal to 3?
Pere, this one, too.
Pere Callahan
#8
Nov24-08, 08:35 AM
P: 587
Quote Quote by Mark44 View Post
I think your reply pertains to a different question...


Pere, this one, too.
I think my post belongs to this question. The function g I suggested satisfies g(-2)=1 and g''>4 in (-2,2). I intended to motivate the OP to check what g(1) is and how this relates to his question.


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