Piecewise defined function

I just read a thread in better ways to get help and thought I would make it easier by asking a specific question at a time as I get help. I don't really understand piecewise defined functions. For example:

Suppose that the function h is defined , for all real numbers, as follows.

h(x)= x if x is not equal to -3

5 if x =-3

I know I would have to plug in and solve for both, and make an x-y chart, but I don't get how to do that in this problem.. It still confuses me. I also need to know how to graph it. Any help would be very much appreciated. :)

Thank you,

Brittney