Use interval and function notation to describe the behavior of piecewise functions.
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Use the graph below to find the value of $${f(-3)}$$.
Below is a new kind of notation that we will use to describe an interval (called interval notation).
In each column, the inequalities and interval notation shown describe the same interval.
Interval notation: $${(2,4)}$$ | Interval notation: $${[-1,3]}$$ |
Inequality notation: $${2<x<4}$$ | Inequality notation: $${-1\leq x\leq-3 }$$ |
Verbal: Over the interval from two to four, exclusive. | Verbal: Over the interval from negative one to three, inclusive. |
Write the following inequality using interval notation.
$${-2 < x\leq 6}$$
Using interval notation:
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Draw a piecewise function that matches the following constraints.
$${f(4)=6}$$
$${f(6)=8}$$
$${f(8)=12}$$
Increasing function over the interval $${(4,8)}$$