ATAR Notes: Forum

VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: hyperblade01 on June 08, 2009, 04:15:03 pm

Title: (Absolute) Maximums and Minimums
Post by: hyperblade01 on June 08, 2009, 04:15:03 pm: Sometimes when the domain of a graph is restricted, the absolute minimum and maximum change.

I've been graphing the restricted function on my CAS and just looking to find the new max and min.

Is there a way of finding the absolute max/min of a restricted function without the help of a graph?
Title: Re: (Absolute) Maximums and Minimums
Post by: TrueTears on June 08, 2009, 04:16:48 pm: Sub in end points and compare with when the first derivative = 0.

Whatever produces a larger/smaller y value is the absolute max/min.
Title: Re: (Absolute) Maximums and Minimums
Post by: kamil9876 on June 08, 2009, 08:06:43 pm: Quote from: TrueTears on June 08, 2009, 04:16:48 pm
Sub in end points and compare with when the first derivative = 0.

Whatever produces a larger/smaller y value is the absolute max/min.

$y=|x^2-9|$ for a domain of (-4,4) ;)