Question

Find the absolute maximum value and absolute minimum value of fx=-x^3+6x^2-14x+8 on the interval [1,4].
a) The absolute maximum value is
b) The absolute minimum value is

Answer 1

Find f'
f'=0 for to find critical numbers
Use critical numbers in the interval [1,4]
Along with endpoints x=1 and x=4
and do
f(1)
f(critical numbers btw 1 and 4)
f(4)

Answer 2

The highest output is the abs max value
The smallest output is the abs min value