91Ó°ÊÓ

Determine whether each relation defines a function, and give the domain and range. $$ \\{(9,-2),(-3,5),(9,2)\\} $$

Each table of values gives several points that lie on a line. Write an equation in slope-intercept form of the line. $$ \begin{array}{r|r} x & y \\ \hline-2 & -3 \\ \hline 0 & 3 \\ \hline 2 & 9 \\ \hline 3 & 12 \end{array} $$

Graph the intersection of each pair of inequalities. $$ 2 x-y \geq 2 \text { and } y<4 $$

Graph the union of each pair of inequalities. $$ x-y \geq 1 \quad \text { or } \quad y \geq 2 $$

Graph the union of each pair of inequalities. $$ x+y \leq 2 \quad \text { or } \quad y \geq 3 $$

Find the slope of each line in three ways by doing the following. (a) Give any two points that lie on the line, and use them to determine the slope. (b) Solve the equation for \(y\), and identify the slope from the equation. (c) For the form \(A x+B y=C,\) calculate \(-\frac{A}{B} .\) 3 x-y=-6

A factory can have no more than 200 workers on a shift, but must have at least 100 and must manufacture at least 3000 units at minimum cost. How many workers should be on a shift in order to produce the required units at minimal cost? Let \(x\) represent the number of workers and y represent the number of units manufactured. The cost per worker is \(\$ 50\) per day and the cost to manufacture 1 unit is \(\$ 100 .\) Write an equation in \(x, y,\) and \(C\) representing the total daily \(\operatorname{cost} C\).

Find the slope of each line, and sketch its graph. \(5 x-2 y=10\)

Find the slope of each line, and sketch its graph. \(4 x-y=4\)

Each table of values gives several points that lie on a line. (a) What is the \(x\) -intercept of the line? The y-intercept? (b) Which equation in choices \(A-D\) corresponds to the given table of values? (c) Graph the equation. $$ \begin{array}{r|r} \multicolumn{1}{c|} {x} & \multicolumn{1}{c} {y} \\ \hline-4 & -3 \\ \hline-2 & 0 \\ \hline 0 & 3 \\ \hline 2 & 6 \end{array} $$ A. \(3 x+2 y=6\) B. \(3 x-2 y=-6\) C. \(3 x+2 y=-6\) D. \(3 x-2 y=6\)