Write and evaluate piecewise functions algebraically and graphically using parent functions.
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This lesson is aligned to the Learning Objectives and Essential Knowledge described in the College Board's AP Calculus AB and AP Calculus BC Course and Exam Description:
LO1.1A(b): EK1.1A1, EK1.1A2, EK1.1A3
LO1.1B: EK1.1B1
LO1.2A: EK1.2A1, EK1.2A2 (approaching)
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Draw a sketch of each of the parent functions shown in the table below.
Parent functions:
$${\mathrm{ln}(x)}$$ | $${e^x}$$ | $${x^2}$$ | $${x^3}$$ | $${|x|}$$ |
$$c$$ (where $$c$$ is a constant) |
$${\sqrt{x}}$$ | $${\sqrt[3]{x}}$$ | $${\mathrm{sin}(x)}$$ | $$\mathrm{cos}(x)$$ | $${1\over x}$$ | $$x$$ |
Write the piecewise function for the graph shown below.
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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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Write a function for the graph shown below.