My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
November 12th, 2012, 10:16 PM   #1
Newbie
 
Joined: Oct 2012

Posts: 11
Thanks: 0

Determining graphs with cont functions

My question asks me to select a graph that fits this description, however I keep getting it wrong. I know that I'm to pick a graph with 1 critical point, and that vertical tangent lines count as crit. pts, but My first two selections were wrong...
Question: How would graph look like
If f is a continuous function on (?4, 4) such
that
(a) f has exactly 3 critical points,
(b) f has exactly 1 local maximum,
(c) f''(x) > 0 on (?4, ?2),
(d) f''(x) < 0 on (0, 2),
(e) (0, 1) is an in?ection point,
(f) f'(x) < 0 on (2, 4).
allylee is offline  
 
November 13th, 2012, 10:10 PM   #2
Senior Member
 
Joined: Aug 2012
From: New Delhi, India

Posts: 157
Thanks: 0

Re: Determining graphs with cont functions

What do you mean by a critical point? Do the 3 critical points include the local maximum?
And if you have options, it's better you take a picture of the question sheet and upload it to some image posting website and link it here.
Here is a recommended website to do so http://imageshack.us/
Rejjy is offline  
November 14th, 2012, 12:22 PM   #3
Math Team
 
Joined: Sep 2007

Posts: 2,409
Thanks: 6

Re: Determining graphs with cont functions

Quote:
Originally Posted by allylee
My question asks me to select a graph that fits this description, however I keep getting it wrong. I know that I'm to pick a graph with 1 critical point,
Why do you say "1 critical point" when a condition below says "f has 3 critical points?

Quote:
and that vertical tangent lines count as crit. pts, but My first two selections were wrong...
The condition that the function be continuous forbids vertical tangents.

Quote:
Question: How would graph look like
If f is a continuous function on (?4, 4) such
that
(a) f has exactly 3 critical points,
(b) f has exactly 1 local maximum,
(c) f''(x) > 0 on (?4, ?2),
(d) f''(x) < 0 on (0, 2),
(e) (0, 1) is an in?ection point,
(f) f'(x) < 0 on (2, 4).
HallsofIvy is offline  
March 8th, 2013, 08:01 AM   #4
Global Moderator
 
Joined: Dec 2006

Posts: 18,142
Thanks: 1417

Re: Determining graphs with cont functions

Quote:
Originally Posted by HallsofIvy
The condition that the function be continuous forbids vertical tangents.
No, it doesn't.

Quote:
Originally Posted by allylee
My question asks me to select a graph that fits this description
Does it? Or does it provide a graph and ask you which criterion is NOT satisfied? If the latter, the answer would be that there are not exactly 3 critical points.
skipjack is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
cont, determining, functions, graphs



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Question on isomorph Graphs and their complement Graphs MageKnight Applied Math 0 January 17th, 2013 11:38 PM
Graphs of derivatives, determining max/mins with critical #s jkh1919 Calculus 6 October 30th, 2012 02:14 PM
Below are the graphs of functions f and g... pjlloyd100 Calculus 1 October 3rd, 2012 08:43 AM
Graphs of Functions and their derivatives dphan26 Calculus 17 May 3rd, 2012 06:37 PM
Determining equations of growth functions xpoisnp Calculus 0 February 8th, 2012 05:37 AM





Copyright © 2017 My Math Forum. All rights reserved.