How Do You Draw a Function from Its Equation?

[PhanicKnight]

Homework Statement

I need to draw this function:

however I don't get how?
I have the solution

but I don't understand how do I get that from the given function. Someone please try to explain? Thanks

 

[LCKurtz]

Homework Statement

I need to draw this function:
View attachment 110120
however I don't get how?
I have the solution
View attachment 110121
but I don't understand how do I get that from the given function. Someone please try to explain? Thanks

Can you plot straight lines and parabolas? If so, plot the graph of $y=x+1$. It has slope $1$ and $y$ intercept $1$. Notice that the part of your graph where $x < -1$ agrees with your graph, so just keep that part. Similarly, do the other two parts.

 

[PhanicKnight]

Yes, that does it. I feel too dumb right now. Ah, thank you.