NAME _____________________________________________ DATE __________________ PERIOD _________ Lesson 4 Reteach Linear Functions A function in which the graph of the solutions forms a line is called a linear function. A linear function can be represented by an equation, a table, a set of ordered pairs, or a graph. Example 1 Graph y = x - 2. x 0 1 2 3 Step 1 Choose some values for x. Use these values to make a function table. x-2 0-2 1-2 2-2 3-2 y -2 -1 0 1 y Step 2 Graph each ordered pair on a coordinate plane. Draw a line that passes through the points. The line is the graph of the linear function. (x, y) (0, -2) (1, -1) (2, 0) (3, 1) y=x-2 (3, 1) (2, 0) O x (1, -1) (0, -2) Exercises Complete the function table. Then graph the function. Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. 1. y = x + 3 x+3 x -2 y y (x, y) = + 0 x O 1 2 Graph each function. 2. y = 3x + 2 3. y = 2 - x y y O 4. y = 3x - 1 x O y x O x Determine whether each set of data is continuous or discrete. 5. the size of airmail packages 6. the number of boxes in an airmail shipment Course 3 • Chapter 4 Functions 59 NAME _____________________________________________ DATE __________________ PERIOD _________ Lesson 4 Homework Practice Linear Functions Graph each function. 1. y = 2x 2. y = -4x 3. y = x - 4 y y O x 4. y = x + 3 Copyright © The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use. x O 4 y y x O x O 1 6. y = − x+2 5. y = 3x + 1 y O y x 7. CARPENTRY Mrs. Valdez can assemble a chair in 1 day 1 and a table in 4 days. Graph the function y = 5 - − x 4 to determine how many of each type of furniture Mrs. Valdez can assemble in 20 days. Is the function continuous or discrete? Explain. O x y x 8. FITNESS A fitness center has set a goal to have 500 members. The fitness center already has 150 members and adds an average of 25 members per month. The function f(x) = 150 + 25x represents the membership after x months. Graph the function to determine the number of months it will take for the fitness center to reach its membership goal. Is the function continuous or discrete? Explain. Course 3 • Chapter 4 Functions y x 59
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