# How do you find the critical numbers for #f(x) = |x + 3| - 1# to determine the maximum and minimum?

##### 1 Answer

Sep 19, 2016

The only critical number is

#### Explanation:

The derivative of

#f'(x) ={ (-1," if",x<0),(1," if",x>0) :} #

(and does not exist at#x=0# ).

and is undefined at the vertex.

The vertex is at

I must admit, this seems like an awful lot of work to find the minimum and maximum.

We know that