# Max n Min

• Nov 15th 2010, 03:50 PM
shannu82
Max n Min
The charge in a capacitor over a three second period is given (numerically) by
f(t)=1/2t 0<=t<1
=1/2(t-1) 1<=t<2
=1/2(t-2) 2<=t<3
= 0 t=3
Does f(t) have a max or min in (0,3). Explain!

Do we take the first derivative? for each? That is what i did! Any help would be appreciated!
• Nov 15th 2010, 07:42 PM
chisigma
The function f(t) has as upper bound 1 and lower bound 0. However no values of t exists such that f(t)=1, so that the function doesn't have a maximum, and infinite values of t exist such that f(t)=0, so that the function has infinite minimum points where is f(t)=0...

Kind regards

$\chi$ $\sigma$
• Nov 15th 2010, 10:47 PM
Prove It
When dealing with hybrid functions a graph always helps.