Graph y = {3 if x is less than or equal to -1}
{2x if -1 is less than x is less than 5}
{(3-x) if x is greater than or equal to 5}

Question

Graph y = {3 if x is less than or equal to -1}
                {2x if -1 is less than x is less than 5}
                {(3-x) if x is greater than or equal to 5}

aum · Answer

|dw:1409698174694:dw|

anonymous · Answer

thank you, but can you also please explain to me how you got that?

aum · Answer

There are 3 x-intervals and the function has different equations in each of the interval.  When $x \le -1$, y = 3
y = 3 is a horizontal line where the y-value remains the same no matter what the x-value is.  But y = 3 only when $x \le -1$.  So we draw a horizontal line at y = 3 and stop it when it reaches x = -1.  Also, since x = -1 is included in $x \le -1$, we put a dark circle at the end to indicate that the point is included in the line.  Is this part clear?

aum · Answer

|dw:1409699158734:dw|

anonymous · Answer

Yes, thank you

aum · Answer

Are the other two parts of the graph clear too?