Let $f(x)$ be the function shown in the graph below.

Click on the graph to enlarge it.

Determine the absolute minimum of the function shown in the graph.
Answer: $x=$ , $\ \ f(x)=$.

Determine the absolute maximum of the function shown in the graph.
Answer: $x=$ , $\ f(x)=$ .

Select maximum or minimum for the following:
The function attains a local at $x=2$.
The function attains a local at $x=4$.
The function attains a local at $x=5$.

You can earn partial credit on this problem.