Curriculum / Math / 11th Grade / Unit 9: Limits and Continuity / Lesson 2
Math
Unit 9
11th Grade
Lesson 2 of 9
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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.
Write the following inequality using interval notation.
$${-2 < x\leq 6}$$
Using interval notation:
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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 $${(4,8)}$$
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Lesson 1
Lesson 3
Topic A: Limits and Continuity
Graph, write, and evaluate linear piecewise functions.
Sketch a slope graph from a linear piecewise function.
Find limits, including left- and right-hand limits, on a function given graphically.
Define continuity of functions and determine whether a function is continuous on a particular domain.
Write and evaluate piecewise functions algebraically and graphically using parent functions.
State and evaluate limits algebraically.
Evaluate infinite limits and limits at infinity.
Sketch functions given limits and continuity requirements.
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