# Define convex piecewise-linear functions

glamrockqueen7 2020-12-24 Answered
Define convex piecewise-linear functions
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## Expert Answer

firmablogF
Answered 2020-12-25 Author has 92 answers
Step 1
Piecewise-linear functions are functions for which there are defined intervals over which the function is linear. ... Note that $|x|=maxi\left\{-x,x\right\}$ this is therefore a convex piecewise linear functions
Step 2
A piecewise linear function is a function composed of some number of linear segments defined over an equal number of intervals, usually of equal size. For example, consider the function over the interval.
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