Help with piecewise functions

Question

anonymous · Answer

This is my question, i have to fill in those blanks

caozeyuan · Answer

y=4 is the constant function

anonymous · Answer

I don't really know about these types of functions that well :/ could you explain it to me?

caozeyuan · Answer

well y is contant during the -1 to 1 interval

anonymous · Answer

I don't really know about these types of functions that well :/ could you explain it to me?

caozeyuan · Answer

the other funciton is linear

caozeyuan · Answer

so you have y=kx+b, you know k=1 since the line is a diagonal of a square which means dy/dx=1, d stands for delta

caozeyuan · Answer

now you have a point on the line so you plug and get the y intercept b

anonymous · Answer

okay so how would i plug that in the equation? sorry if im asking a lot of questions, I'm just not really good with math :/