91Ó°ÊÓ

Given the piecewise function $$f(x)=\left\\{\begin{array}{ll}-x-3, & \text { if } x<-3 \\\x+3, & \text { if } x \geq-3\end{array}\right.$$ evaluate \(\mathrm{f}(-4)\) and \(\mathrm{f}(0)\), then draw the graph of \(\mathrm{f}\) on a sheet of graph paper. State the domain and range of the function.

Given the piecewise function $$f(x)=\left\\{\begin{array}{ll}-x+1, & \text { if } x<1 \\\x-1, & \text { if } x \geq 1\end{array}\right.$$ evaluate \(\mathrm{f}(-2)\) and \(\mathrm{f}(3)\), then draw the graph of \(\mathrm{f}\) on a sheet of graph paper. State the domain and range of the function.

Given the piecewise function $$g(x)=\left\\{\begin{array}{ll}-2 x+3, & \text { if } x<\frac{3}{2} \\ 2 x-3, & \text { if } x \geq \frac{3}{2}\end{array}\right.$$ evaluate \(\mathrm{g}(0)\) and \(\mathrm{g}(3)\), then draw the graph of \(\mathrm{f}\) on a sheet of graph paper. State the domain and range of the function.

Given the piecewise function $$g(x)=\left\\{\begin{array}{ll}-3 x-4, & \text { if } x<-\frac{4}{3} \\ 3 x+4, & \text { if } x \geq-\frac{4}{3}\end{array}\right.$$ evaluate \(g(-2)\) and \(g(3)\), then draw the graph of \(f\) on a sheet of graph paper. State the domain and range of the function.

A battery supplies voltage to an electric circuit in the following manner. Before time \(\mathrm{t}=0\) seconds, a switch is open, so the voltage supplied by the battery is zero volts. At time \(\mathrm{t}=0\) seconds, the switch is closed and the battery begins to supply a constant 3 volts to the circuit. At time \(\mathrm{t}=2\) seconds, the switch is opened again, and the voltage supplied by the battery drops immediately to zero volts. Sketch a graph of the voltage vversus time t, label each axis with the appropriate units, then provide a piecewise definition of the voltage v supplied by the battery as a function of time t.