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
Hello Chinnie15
When you sketch the graph any function of , it's up to you to decide what values of you want to include. The general answer is: any values that will show the general appearance of the graph. So in this case, the important thing is to get it right around . So choose values of from (say) to (say) .I still don't understand where I'm getting these values from.
In the way that Prove It has described.And how would I graph it?
Grandad
I'm sorry, but I don't understand where you are getting stuck...? You are given y = f(x), and a straight line (namely, y = x) to graph. You have exactly one other thing to do: Draw an open circle (indicating the missing point) on the straight line and a dot (indicating the odd point, (x, y) = (-3, 5)) off to the side of the line.
Please reply with clarification regarding what you have done and at what point you're grinding to a halt. Thank you!
Nevermind, I get it now. I have no idea how I forgot h(x) would be a strait line cutting diagonally right through the origin. Now that I actually remember that it's much easier. So that dot in the upper left would just stay there with no line connecting it?