Difference between revisions of "009A Sample Final 1, Problem 10"

Revision as of 21:26, 1 February 2016

Consider the following continuous function:

f(x)=x^{1/3}(x-8)

defined on the closed, bounded interval $[-8,8]$ .

a) Find all the critical points for

f(x)

.

b) Determine the absolute maximum and absolute minimum values for

f(x)

on the interval

[-8,8]

.

Foundations:

Solution:

(a)

(b)

Step 2:

Step 3:

(c)

Step 1:

@@ Line 1: / Line 1: @@
+<span class="exam">Consider the following continuous function:
+::::::<math>f(x)=x^{1/3}(x-8)</math>
+<span class="exam">defined on the closed, bounded interval <math>[-8,8]</math>.
+::<span class="exam">a) Find all the critical points for <math>f(x)</math>.
+::<span class="exam">b) Determine the absolute maximum and absolute minimum values for <math>f(x)</math> on the interval <math>[-8,8]</math>.
 {| class="mw-collapsible mw-collapsed" style = "text-align:left;"
 !Foundations: &nbsp;