91Ó°ÊÓ

Make a table listing ordered pairs that satisfy each equation. Then graph the equation. Determine the domain and range, and whether \(y\) is a function of \(x .\) $$x=|y|$$

If \(y\) is directly proportional to \(z,\) and \(y=6\) when \(z=\sqrt{12}\) what is \(y\) when \(z=\sqrt{75} ?\)

Determine whether each equation defines \(y\) as a function of \(x\). $$x=y^{3}$$

Determine whether each function is invertible. If it is invertible, find the inverse. $$\\{(0,2),(2,0),(1,0),(4,6)\\}$$

Make a table listing ordered pairs for each function. Then sketch the graph and state the domain and range. $$f(x)=\left\\{\begin{aligned} 2 & \text { for } x<-1 \\ -2 & \text { for } x \geq-1 \end{aligned}\right.$$

Write the equation of each graph after the indicated transformation\((s)\) The graph of \(y=\sqrt{x}\) is translated two units upward.

If \(P\) is inversely proportional to \(w,\) and \(P=2 / 3\) when \(w=1 / 4,\) what is \(P\) when \(w=1 / 6 ?\)

Write the equation of each graph after the indicated transformation\((s)\) The graph of \(y=\sqrt{x}\) is translated three units downward.

If \(H\) varies inversely as \(q,\) and \(H=0.03\) when \(q=0.01\) what is \(H\) when \(q=0.05 ?\)

Make a table listing ordered pairs for each function. Then sketch the graph and state the domain and range. $$f(x)=\left\\{\begin{array}{lll} 3 & \text { for } & x<2 \\ 1 & \text { for } & x \geq 2 \end{array}\right.$$