# absolute maximum and absolute minimum value

• November 18th 2009, 02:33 PM
break
absolute maximum and absolute minimum value
Find the absolute maximum and absolute minimum values of f on the given interval. $f(x) = x^3 - 3x + 1$
$[0,3]$

how do i find this?
• November 18th 2009, 02:53 PM
Calculus26
Absolute Extrema can occur

1. At end points

2. Critical points

Compute f(0), f(3) and the value of f(x) at all critical ponts on [0,3].

simply the largest is the abs max, the smallest is the abs min
• November 18th 2009, 03:25 PM
Krizalid
note also that in order to get the right answer we have that min and max are attained on that inverval.