maximum and minimum values

**Sketch the graph of ***f* by hand. (Do this on paper. Your instructor may ask you to turn in this graph.) Use your sketch to find the absolute and local maximum and minimum values of *f*. (If there is not one, enter NONE.)

http://www.webassign.net/cgi-bin/sym...0%3C%3D%204%29

__on [-4,0) __

f(0)=16 (hole)

f(-1)=15

f(-2)=12

f(-3)=7

f(-4)=0

__on [0,4]__

f(0)=-1

f(1)=1

f(2)=3

f(3)=5

f(4)=7

What I was thinking:

absolute maximum value_________

f(0)=16 is the highest point on the graph, but isn't in the top functions interval, so I put f(-1)=15 and it was marked wrong. ??

** local minimum value**=____________

The graphs don't intersect and since the top function is only from [-4,0), this part of the function is only concave down. I put 'none' and it was also marked wrong.