Question

How to find the absolute extrema of the function:
f(x) = 3 - x

Answer 1

on the closed interval [-1, 2]
f'(x) = -1 ==> no critical numbers.
but what next??

Answer 2

Find the function values at the boundaries.

Answer 3

f(2) = 1
f(-1) = 4
only 1 min and 1 max
(-1, 4) max
(2, 1) min????

Answer 4

why am I not testing the numbers in betwen the boundaries? like 0, 1..?

Answer 5

It's a straight line.

Answer 6

can you elaborate?

Answer 7

and, is my answer correct? lopl

Answer 8

Graph it.

Answer 9

oh great. thanks