3. Functions

Intro to Functions & Their Graphs

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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Textbook Question
Graph each piecewise-defined function.
$f (x) = {\begin{matrix} - \frac{1}{2} x^{2} + 2 & if x \leq 2 \\ \frac{1}{2} x & if x > 2 \end{matrix}$
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Textbook Question
Give a rule for each piecewise-defined function. Also give the domain and range.
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Textbook Question
Give a rule for each piecewise-defined function. Also give the domain and range.
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Textbook Question
Give a rule for each piecewise-defined function. Also give the domain and range.
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Textbook Question
Find the value of the function for the given value of x.
$f (x) = {\begin{matrix} 5 & if 0 < x \leq 2 \\ 20 - 3 [[2 - 4 x]] & if x > 2 \end{matrix}, for x = 5.6$
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Textbook Question
Find the value of the function for the given value of x.
$f (x) = {\begin{matrix} 3 & if 0 < x \leq 4 \\ 10 - 2 [[5 - x]] & if x > 4, for \end{matrix}, for x = 6.2$
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Textbook Question
Graph each function. Give the domain and range. ƒ(x)=-[[x]]
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Textbook Question
Graph each function. Give the domain and range. g(x)=[[2x-1]]
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Textbook Question
Solve each problem. See Example 4. Suppose that the cost of mailing a letter weighing x ounces, where x>0, is ƒ(x)=55-15[[1-x]]cents. What is the cost for the first ounce?
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Textbook Question
Solve each problem. See Example 4. Suppose that the cost of mailing a letter weighing x ounces, where x>0, is ƒ(x)=55-15[[1-x]]cents. What is the cost of mailing a 2.6-ounce letter?
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Textbook Question
For each graph, determine whether y is a function of x. Give the domain and range of each relation.
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Textbook Question
For each graph, determine whether y is a function of x. Give the domain and range of each relation.
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