PieceWise Functions NYS Regents: Algebra

Greetings math friends, students, and teachers I come in peace to review this piecewise functions NYS Regents question.  Are they pieces of functions? Yes. Are they wise?  Ah, yeah sure, why not? Let’s check out this piecewise functions NYS Regents question below and happy calculating! 🙂

piecewise function NYS regents

1 value satisfies the equation because there is only one point on the graph where f(x) and g(x) meet.

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*Note: For an in-depth review on how to graph an equation of a line step by step, check out this post here.
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Does the above madness make sense to you? Great!

Need more of an explanation? Keep going! There is a way to understand the above mess.

How do I read this?

Looking at this piece-wise function: We want to graph the function 2x+1 but only when the x-values are less than or equal to negative 1.

We also want to graph 2-x^2 but only when x is greater than the negative one.

One way to organize graphing each piece of a piecewise function is by making a chart.

  1. Lets start by making a chart for the first part of our function 2x+1:
piecewise function NYS regents
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piecewise function NYS regents
piecewise function NYS regents
piecewise function NYS regents

Is it all coming back to you now?  Need more practice on piece-wise functions?Check out this link here and happy calculating! 🙂

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