# How do you write #f(x) = 3 - |2x + 3|# into piecewise functions?

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It's really the absolute value you need to worry about.

If you're rewriting absolute values of the form

Now figure out where

By inspection (or picking values to substitute)

In general

For

For

So that's our function. (Not sure how I'd write a piecewise function on here using the normal notation.)

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