Chapter 2

Graph each inequality. $$ y < 2 $$

Graph each function. Identify the domain and range. \(f(x)=-[x]\)

Write an equation in slope-intercept form for the line that satisfies each set of conditions. slope \(0.5,\) passes through \((6,4)\)

Find the slope of the line that passes through each pair of points. $$ (-2,-1),(2,-3) $$

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning. \(x^{2}+y^{2}=4\)

Graph each inequality. $$ y > 2 x-3 $$

Graph each function. Identify the domain and range. \(g(x)=[2 x]\)

Write an equation in slope-intercept form for the line that satisfies each set of conditions. slope \(-\frac{3}{4},\) passes through \(\left(2, \frac{1}{2}\right)\)

Find the slope of the line that passes through each pair of points. $$ (2,2),(4,2) $$

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning. \(h(x)=1.1-2 x\)

Graph each inequality. $$ x-y \geq 0 $$

Graph each function. Identify the domain and range. \(f(x)=4\)

Write an equation in slope-intercept form for the line that satisfies each set of conditions. slope \(3,\) passes through \((0,-6)\)

Find the slope of the line that passes through each pair of points. $$ (4,5),(-1,0) $$

On January \(1,1999,\) the euro became legal tender in 11 participating countries in Europe. Based on the exchange rate on one particular day, the linear function \(d(x)=0.8881 x\) could be used to convert \(x\) euros to U.S. dollars. On that day, what was the value in U.S. dollars of 200 euros?

Graph each inequality. $$ x-2 y \leq 5 $$

Graph each function. Identify the domain and range. \(z(x)=-3\)

Graph the line passing through the given point with the given slope. $$ (2,-1),-3 $$

On January \(1,1999,\) the euro became legal tender in 11 participating countries in Europe. Based on the exchange rate on one particular day, the linear function \(d(x)=0.8881 x\) could be used to convert \(x\) euros to U.S. dollars. On that day, what was the value in euros of 500 U.S. dollars?

Graph each inequality. $$ y > |2 x| $$

Graph each function. Identify the domain and range. \(h(x)=|x|-3\)

Graph the line passing through the given point with the given slope. $$ (-3,-4), \frac{3}{2} $$

Write each equation in standard form. Identify A, B, and C. \(y=3 x-5\)

Graph each inequality. $$ y \leq 3|x|-1 $$

Graph each function. Identify the domain and range. \(f(x)=|3 x-2|\)

Write an equation in slope-intercept form for the line that satisfies each set of conditions. passes through \((-3,5)\) and \((2,2)\)

Write each equation in standard form. Identify A, B, and C. \(4 x=10 y+6\)

SHOPPING For Exercises \(7-9,\) use the following information. Gwen wants to buy some used CDs that cost \(\$ 10\) each and some used DVDs that cost \(\$ 13\) each. She has \(\$ 40\) to spend. Write an inequality to represent the situation, where \(c\) is the number of CDs she buys and \(d\) is the number of DVDs.

Graph each function. Identify the domain and range. \(g(x)=\left\\{\begin{aligned}-1 & \text { if } x<0 \\\\-x+2 & \text { if } x \geq 0 \end{aligned}\right.\)

Write each equation in standard form. Identify A, B, and C. \(y=\frac{2}{3} x+1\)

Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function and state whether it is discrete or continuous. $$ \\{(7,8),(7,5),(7,2),(7,-1)\\} $$

Graph each function. Identify the domain and range. \(h(x)=\left\\{\begin{array}{c}{x+3 \text { if } x \leq-1} \\ {2 x \text { if } x>-1}\end{array}\right.\)

Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function and state whether it is discrete or continuous. $$ \\{(6,2.5),(3,2.5),(4,2.5)\\} $$

Find the \(x\)-intercept and the \(y\)-intercept of the graph of each equation. Then graph the equation. \(y=-3 x-5\)

SHOPPING For Exercises \(7-9,\) use the following information. Gwen wants to buy some used CDs that cost \(\$ 10\) each and some used DVDs that cost \(\$ 13\) each. She has \(\$ 40\) to spend. Can she buy 2 \(\mathrm{CDs}\) and 3 \(\mathrm{DVDs} ?\) Explain.

What is an equation of the line through \((2,-4)\) and \((-3,-1) ?\) A. \(y=-\frac{3}{5} x+\frac{26}{5}\) B. \(y=-\frac{3}{5} x-\frac{14}{5}\) C. \(y=\frac{3}{5} x-\frac{26}{5}\) D. \(y=\frac{3}{5} x+\frac{14}{5}\)

Graph the line that satisfies each set of conditions. passes through \((0,3),\) parallel to graph of \(6 y-10 x=30\)

Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function and state whether it is discrete or continuous. \(y=-2 x+1\)

Find the \(x\)-intercept and the \(y\)-intercept of the graph of each equation. Then graph the equation. \(x-y-2=0\)

Each week Carmen earns \(\$ 15\) plus \(\$ 0.17\) for every pamphlet that she delivers. Write an equation that can be used to find how much Carmen earns each week. How much will she earn the week she delivers 300 pamphlets?

Graph the line that satisfies each set of conditions. passes through \((1,1)\) parallel to graph of \(x+y=5\)

Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function and state whether it is discrete or continuous. \(x=y^{2}\)

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning. \(x+y=5\)

Graph each inequality. $$ y > 6 x-2 $$

A downtown parking lot charges \(\$ 2\) for the first hour and \(\$ 1\) for each additional hour or part of an hour. What type of special function models this situation?

Write an equation in slope-intercept form for the line that satisfies each set of conditions. perpendicular to \(y=\frac{3}{4} x-2,\) passes through \((2,0)\)

Graph the line that satisfies each set of conditions. passes through \((4,-2),\) perpendicular to graph of \(3 x-2 y=6\)

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning. \(f(x)=6 x-19\)

Graph each relation or equation and find the domain and range. Then determine whether the relation or equation is a function and state whether it is discrete or continuous. Find \(f(5)\) if \(f(x)=x^{2}-3 x\)

Graph each inequality. $$ y+1 < 4 $$