91Ó°ÊÓ

Graph the line passing through the given point and having the indicated slope. Plot two points on the line. $$\text { through }\left(-\frac{1}{2}, 4\right), m=0$$

The tables give some selected ordered pairs for functions \(f\) and \(g\). $$\begin{array}{|c|c|c|c|}\hline x & 3 & 4 & 6 \\\\\hline f(x) & 1 & 3 & 9 \\\\\hline\end{array}$$ $$\begin{array}{|c|c|c|c|c|}\hline x & 2 & 7 & 1 & 9 \\\\\hline g(x) & 3 & 6 & 9 & 12 \\\\\hline\end{array}$$ Find each of the following. $$(f \circ g)(2)$$

Graph the line passing through the given point and having the indicated slope. Plot two points on the line. $$\text { through }\left(\frac{3}{2}, 2\right), m=0$$

The tables give some selected ordered pairs for functions \(f\) and \(g\). $$\begin{array}{|c|c|c|c|}\hline x & 3 & 4 & 6 \\\\\hline f(x) & 1 & 3 & 9 \\\\\hline\end{array}$$ $$\begin{array}{|c|c|c|c|c|}\hline x & 2 & 7 & 1 & 9 \\\\\hline g(x) & 3 & 6 & 9 & 12 \\\\\hline\end{array}$$ Find each of the following. $$(f \circ g)(7)$$

Answer the following. If a horizontal line is drawn through the point \((4,3),\) at what point will it intersect the \(y\) -axis?

Let \(f(x)=-3 x+4\) and \(g(x)=-x^{2}+4 x+1 .\) Find and simplify each of the following. $$f(3 t-2)$$

The snow depth in Michigan's Isle Royale National Park varies throughout the winter. In a typical winter, the snow depth in inches is approximated by the following function. $$f(x)=\left\\{\begin{array}{ll}6.5 x & \text { if } 0 \leq x \leq 4 \\\\-5.5 x+48 & \text { if } 4

Graph each function. $$y=(x+3)^{2}$$

The tables give some selected ordered pairs for functions \(f\) and \(g\). $$\begin{array}{|c|c|c|c|}\hline x & 3 & 4 & 6 \\\\\hline f(x) & 1 & 3 & 9 \\\\\hline\end{array}$$ $$\begin{array}{|c|c|c|c|c|}\hline x & 2 & 7 & 1 & 9 \\\\\hline g(x) & 3 & 6 & 9 & 12 \\\\\hline\end{array}$$ Find each of the following. $$(g \circ f)(3)$$

For each function, find (a) \(f(2)\) and ( \(b\) ) \(f(-1)\). $$f=\\{(-1,3),(4,7),(0,6),(2,2)\\}$$