Piecewise Problem: h(x) = |x-2| + |x+5|

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Homework Help Overview

The discussion revolves around the function h(x) = |x-2| + |x+5|, focusing on how to express it in piecewise form. Participants are exploring the concept of piecewise functions and the implications of absolute values in this context.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to understand how to break down the function into its piecewise components. Questions are raised about the process of identifying where the expressions within the absolute values change signs and how to represent the function accordingly.

Discussion Status

The discussion is ongoing, with some participants expressing confusion about the piecewise representation and seeking assistance. Others are attempting to clarify the requirements and provide hints about identifying critical points where the function changes behavior.

Contextual Notes

There is an indication that participants may be working under constraints related to homework guidelines, which may limit the type of assistance they can receive. The original poster's understanding of piecewise functions appears to be a significant factor in the discussion.

ASmith
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Homework Statement


h(x)= l x-2 l + l x+5 l


Homework Equations





The Attempt at a Solution

 
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What is your question?
 
I assume he's going to post it in pieces. Hence the name of the thread :)
 
ha okay, well I'm just completely lost on how to go about making this a piecewise.
I've never encountered this before, and I've compared it to others.
Apparently something just isn't clicking with me.
any assistance?
 
You mean you want to describe this function piecewise? It's not very clear, since it IS described piecewise right now (one piece).

You probably want to do something like this:

I can describe the function g(x)=|x| by the following:
g(x) = x if x>=0
g(x) = -x if x<0

So you need to find where things inside the absolute value sign change signs, and describe h(x) piecewise between those points (hint: they change sign when they're zero)
 

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