Chapter 3 / REVIEW Graphs, Relations, and Functions What’s the big idea? Now that you have completed Chapter 3, you should be able to graph an equation in two variables and determine from that graph if the equation represents a function. You should also be able to determine if relations defined by sets, tables, or mappings are functions. For relations and functions, you should be able to state the domain and range and find output and input values. The Tools Study Tips Listed below are the key terms, skills, formulas, and properties you should know for this chapter. The page reference is provided if you need additional help with the given topic. The Study Tips will assist in your preparation for an exam. 1. Learn all of the terms, formulas, and properties. Make flash cards and have someone quiz you. 2. Rework problems from the exercises and also the ones you worked in class. Work additional problems from the review exercises. 3. Review the summaries of key concepts. 4. Work the chapter test. 5. Be sure to review the online resources for additional study materials. Terms Cartesian coordinate system 148 Dependent variable 182 Domain 165 Domain of a function 193 Evaluating a function 182 First coordinate or x-coordinate 148 Function 178 Function notation 182 Independent variable 182 Input value 165 How well do you know this chapter? Complete the following questions to find out! Take a look back at the section if you need help. SECTION 3.1 The Coordinate System, Graphing Equations, and the Midpoint Formula 1. The rectangular coordinate system consists of two real intersecting at right angles. The horizontal number line is referred to as the and the vertical number line is referred to as the . The point where the two cross is called the and has the ordered pair . 2. The two axes divide the plane into four regions called . Quadrants are labeled as . Quadrant I is the quadrant. From here we rotate to label the other quadrants. 3. For a point to be in quadrant I, x is and y is . For a point to be in quadrant II, x is and y is . For a point to be in quadrant III, x is and y is . For a point to be in quadrant IV, x is and y is . 4. A point not in a quadrant lies on one of the . For a point to be on the , x is a real number and y is zero. For a point to be on the , x is zero and y is a real number. 5. A solution of an equation in two variables is a(n) that makes the equation true. CHAPTER 3 / SUMMARY Linear equation in two variables 150 Midpoint 155 Origin 148 Ordered pair 148 Paired data 156 Output value 165 Quadrant 149 Range 165 Rectangular coordinate system 148 Relation 165 Scatter plot 156 Second coordinate or y-coordinate 148 Solution of an equation in two variables 150 Vertical line test 180 x-axis 148 y-axis 148 Formulas and Properties • Midpoint formula 155 201
hendricks_intermediate_algebra_1e_ch1_3
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