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How to write absolute value equations as piecewise functions

Then, let's see, our function f x is going to be equal to, there's three different intervals.

Identify the intervals for which different rules apply. Now let's keep going. If you are in two of these intervals, the intervals should give you the same values so that the function maps, from one input to the same output.

Over that interval, what is the value of our function? Sometimes people call this a step function, it steps up.

Average rate of change: is constant on each straight line section ray of the graph. It is the distance from 0 on the number line. Read more about Absolute Value. For help with greatest integer functions on your calculator, Click Here! Here it's defined by this part.

Solution To find the cost of using 1. It looks like stairs to some degree.

I always find these piecewise functions a lot of fun.

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Introduction to piecewise functions