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Problem 49

Use translations of one of the basic functions \(y=x^{2}, y=x^{3},\) \(y=\sqrt{x},\) or \(y=|x|\) to sketch a graph of \(y=f(x)\) by hand. Do not use a calculator. $$y=\sqrt{x-2}-1$$

Problem 49

Solve each equation or inequality. $$3|4-3 x|-4=8$$

Problem 50

Use transformations of graphs to sketch a graph of \(y=f(x)\) by hand. Do not use a calculator. $$f(x)=(x+2)^{3}$$

Problem 50

Based on the ordered pairs seen in each table, make a conjecture about whether the function \(f\) is even, odd, or neither even nor odd. $$\begin{array}{r|r} x & f(x) \\ \hline-3 & -5 \\ -2 & -4 \\ -1 & -1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \\ 3 & 5 \end{array}$$

Problem 50

Use translations of one of the basic functions \(y=x^{2}, y=x^{3},\) \(y=\sqrt{x},\) or \(y=|x|\) to sketch a graph of \(y=f(x)\) by hand. Do not use a calculator. $$y=\sqrt{x+3}-4$$

Problem 50

Solve each equation or inequality. $$5|x+3|-2=18$$

Problem 51

Postage Rates In 2013 , the retail flat rate in dollars for first-class mail weighing up to 5 ounces could be computed by the piecewise constant function \(f,\) where \(x\) is the number of ounces. $$f(x)=\left\\{\begin{array}{ll} 0.92 & \text { if } 0

Problem 51

Use transformations of graphs to sketch a graph of \(y=f(x)\) by hand. Do not use a calculator. $$f(x)=-x^{3}$$

Problem 51

Based on the ordered pairs seen in each table, make a conjecture about whether the function \(f\) is even, odd, or neither even nor odd. $$\begin{array}{r|r} x & f(x) \\ \hline-3 & 5 \\ -2 & 4 \\ -1 & 3 \\ 0 & 2 \\ 1 & 1 \\ 2 & 0 \\ 3 & -1 \end{array}$$

Problem 51

Solve each equation or inequality. $$\frac{1}{2}\left|-2 x+\frac{1}{2}\right|=\frac{3}{4}$$

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