91Ó°ÊÓ

Make a table of values for each equation. Then graph the equation. $$ y=-|2 x|+5 $$

For each function, identify the translation of the parent function. Then graph the function. \(y=|x+5|\)

Cost Analysis The equation \(y-0.23 x=0\) relates the cost of operating a car to the number of miles driven, where \(x\) is the number of miles driven and \(y\) is the cost. a. Graph the equation and determine the domain and range. b. Explain what the \(x\) - and \(y\) -intercepts represent. c. Explain what 0.23 represents.

Cooking The time needed to roast a chicken depends on its weight. Allow at least 20 \(\mathrm{min} / \mathrm{b}\) for a chicken weighing as much as 6 lb. Allow at least 15 \(\mathrm{min} / \mathrm{b}\) for a chicken weighing more than 6 \(\mathrm{lb}\) . a. Write two inequalities to represent the time needed to roast a chicken. b. Graph the inequalities.

Determine whether \(y\) varies directly with \(x .\) If so, find the constant of variation. \(y=6 x\)

Graph each absolute value inequality. $$ y \geq|2 x-1| $$

Determine whether \(y\) varies directly with \(x .\) If so, find the constant of variation. \(y=-2 x\)

Make a mapping diagram for each relation. $$ \\{(5,10),(10,5),(15,20),(20,15)\\} $$

Graph each absolute value inequality. $$ y \leq|3 x|+1 $$

Graph each equation on a graphing calculator. Then sketch the graph. $$ y=3\left|\frac{1}{3}-\frac{1}{3} x\right| $$