Maxima and Minima

For each of these absolute value functions: is there an absolute maximum, minimum, or neither? If there is a minimum or maximum, specify the x value where it is located.

1. f(x) = |x| + 1

2. f(x) = |x – 1|

3. f(x) = 1 – |x|

4. f(x) = 1 – |2x|

5. f(x) = |x| + |x – 1|

Bonus question: graph the function in #5.