# Absolute Values and Piecewise Functions?

I have the equation:

y=|x+2|+|x-3|

During school, my teacher said that it helped her to draw a numberline. For example, if you had y=|x+2| then you would draw a number line for all possible values of x:

<------(-2)--------(0)-------(2)------->

So you would have 4 different equations for the piecewise function??

If people could help me figure piecewise functions out with absolute value that would be great.

Favorite Answer

x___i___y

1 i 5 y=(1+2)+(1-3) y=3+I -2 I y=3+2 y=5

0 i 5

-1 I 5

7 i 13

-7 i 15

absolute numbers are how far from zero the number is. so 2 and I -2I would both be 2.

your answer will be a curved line. a u on the graph.

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