absolute values help (1 Viewer)

[vizman]

hey guys im really stuck on this question

Sketch the Function

y = | x | + | x + 1|

 

[pLuvia]

y = | x | + | x + 1|

y=x+x+1= 2x+1
y=-x-x-1= -2x-1
y=-x+x+1= 1
y=x-x-1=-1 <-- Reject this one because y cannot be negative since it is absolute value

So now you can draw the graph

 

[vizman]

its a combination of the 3 isn't it?

thanks.

 

[pLuvia]

Yep and where they intersect at those sharp points are the critical points, where the gradient isn't defined