3. Functions

Intro to Functions & Their Graphs

Textbook Question
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=x³? What is its range?
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Textbook Question
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=|x|? What is the function value when x=1.5?
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Textbook Question
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=∛x? Is there any open interval over which the function is decreasing?
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Textbook Question
To answer each question, refer to the following basic graphs. Which one is the graph of ƒ(x)=√x? What is its domain?
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Textbook Question
Determine the intervals of the domain over which each function is continuous.
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Textbook Question
Determine the intervals of the domain over which each function is continuous.
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Textbook Question
Determine the intervals of the domain over which each function is continuous.
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Textbook Question
Determine the intervals of the domain over which each function is continuous.
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Textbook Question
Determine the intervals of the domain over which each function is continuous.
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Textbook Question
Graph each piecewise-defined function.
$f (x) = {\begin{matrix} x - 1 & if x \leq 3 \\ 2 & if x > 3 \end{matrix}$
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Textbook Question
Graph each piecewise-defined function.
$f (x) = {\begin{matrix} 4 - x & if x < 2 \\ 1 + 2 x & if x \geq 2 \end{matrix}$
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Textbook Question
Graph each piecewise-defined function.
$f (x) = {\begin{matrix} 2 x + 1 & if x \geq 0 \\ x & if x < 0 \end{matrix}$
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Textbook Question
Graph each piecewise-defined function.
$f (x) = {\begin{matrix} - 3 & if x \leq 1 \\ - 1 & if x > 1 \end{matrix}$
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Textbook Question
Graph each piecewise-defined function.
$f (x) = {\begin{matrix} - 2 x & if x < - 3 \\ 3 x - 1 & if - 3 \leq x \leq 2 \\ - 4 x & if x > 2 \end{matrix}$
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Textbook Question
Graph each piecewise-defined function.
$f (x) = {\begin{matrix} x^{3} + 5 & if x \leq 0 \\ - x^{2} & if x > 0 \end{matrix}$
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