91Ó°ÊÓ

Use the tests for symmetry to decide whether the graph of each relation is symmetric with respect to the \(x\) -axis, the y-axis, or the origin. More than one of these symmetries, or none of them, may apply. $$ x=y^{2}+3 $$

For each piecewise linear function, find \((a) f(-5),(b) f(-1),(c) f(0),(d) f(3),\) and (e) \(f(5)\) \(f(x)=\left\\{\begin{array}{ll}2 x & \text { if } x \leq-1 \\ x-1 & \text { if } x>-1\end{array}\right.\)

For each quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of \(f(x)=x^{2} .\). $$ f(x)=3 x^{2}+1 $$

For each piecewise linear function, find \((a) f(-5),(b) f(-1),(c) f(0),(d) f(3),\) and (e) \(f(5)\) \(f(x)=\left\\{\begin{array}{ll}3 x+5 & \text { if } x \leq 0 \\ x & \text { if } x>0\end{array}\right.\)

For each quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of \(f(x)=x^{2} .\). $$ f(x)=\frac{2}{3} x^{2}-4 $$

Use the tests for symmetry to decide whether the graph of each relation is symmetric with respect to the \(x\) -axis, the y-axis, or the origin. More than one of these symmetries, or none of them, may apply. $$ x=y^{2}-5 $$

For each piecewise linear function, find \((a) f(-5),(b) f(-1),(c) f(0),(d) f(3),\) and (e) \(f(5)\) \(f(x)=\left\\{\begin{array}{ll}2 & \text { if } x \leq 0 \\ -6 & \text { if } x>0\end{array}\right.\)

For each quadratic function, tell whether the graph opens up or down and whether the graph is wider, narrower, or the same shape as the graph of \(f(x)=x^{2} .\). $$ f(x)=-4(x+2)^{2}+5 $$

Use the tests for symmetry to decide whether the graph of each relation is symmetric with respect to the \(x\) -axis, the y-axis, or the origin. More than one of these symmetries, or none of them, may apply. $$ -2 x=y $$

Use the tests for symmetry to decide whether the graph of each relation is symmetric with respect to the \(x\) -axis, the y-axis, or the origin. More than one of these symmetries, or none of them, may apply. $$ y=5 x $$