91Ó°ÊÓ

Use a graphing calculator in dot mode with window \([-5,5]\) by \([-3,3]\) to graph each equation. (Refer to your descriptions in Exercises 41-44.) $$y=[-x]$$

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. $$\begin{array}{r|r} x & f(x) \\ \hline-3 & 10 \\ -2 & 5 \\ -1 & 2 \\ 0 & 1 \\ 1 & 2 \\ 2 & 5 \\ 3 & 10 \end{array}$$

Use a graphing calculator in dot mode with window \([-5,5]\) by \([-3,3]\) to graph each equation. (Refer to your descriptions in Exercises 41-44.) $$y=-[x]$$

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. $$y=(x-1)^{3}$$

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. $$y=|x|-3$$

Solve each equation or inequality. $$|2 x+4|+2=10$$

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. $$\begin{array}{r|r} x & f(x) \\ \hline-3 & 16 \\ -2 & 5 \\ -1 & 1 \\ 0 & -4 \\ 1 & 1 \\ 2 & 5 \\ 3 & 16 \end{array}$$

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

Use transformations of graphs to sketch a graph of \(y=f(x)\) by hand. Do not use a calculator. $$f(x)=(x-1)^{3}$$

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. $$\begin{array}{r|r} x & f(x) \\ \hline-3 & 10 \\ -2 & 5 \\ -1 & 2 \\ 0 & 0 \\ 1 & -2 \\ 2 & -5 \\ 3 & -10 \end{array}$$