1. Algebra 1 Step 2: Plot the points for the ordered pairs. Step 3: Join the points to form a line. Lesson 5-3 Model the function rule y = + 2 using a table of values and a graph. 1313 x Step 1: Choose input value for x. Evaluate to find y. x(x, y) –3y = (–3) + 2 = 1(–3, 1) 0y = (0) + 2 = 2(0, 2) 3y = (3) + 2 = 3(3, 3) y = x + 2 1313 1313 1313 1313 Function Rules, Tables, and Graphs Additional Examples

2. Algebra 1 At the local video store you can rent a video game for $3. It costs you $5 a month to operate your video game player. The total monthly cost C(v) depends on the number of video games v you rent. Use the function rule C(v) = 5 + 3v to make a table of values and a graph. vC(v) = 5 + 3v(v, C(v)) 0C(0) = 5 + 3(0) = 5(0, 5) 1C(1) = 5 + 3(1) = 8(1, 8) 2C(2) = 5 + 3(2) = 11(2, 11) Lesson 5-3 Function Rules, Tables, and Graphs Additional Examples

3. Algebra 1 At a ball game they charge $2 for a hotdog. The function C(h) = 2h describes the cost of h hotdogs. Use the points for each input value. Connect the points with a dashed line. Lesson 5-3 hC(h) = 2h(h, C(h)) 1C(1) = 2(1) = 2(1, 2) 2C(2) = 2(2) = 4(2, 4) 3C(3) = 2(3) = 6(3, 6) 4C(4) = 2(4) = 6 (4, 8) Function Rules, Tables, and Graphs Additional Examples

4. Algebra 1 a. Graph the function y = |x| + 2. Lesson 5-3 Make a table of values. xy = |x| + 2(x, y) –3y = |–3| + 2 = 5(–3, 5) –1y = |–1| + 2 = 3 (–1, 3) 0y = |0| + 2 = 2 ( 0, 2) 1y = |1| + 2 = 3 ( 1, 3) 3y = |3| + 2 = 5 ( 3, 5) Then graph the data. Function Rules, Tables, and Graphs Additional Examples

5. Algebra 1 (continued) Lesson 5-3 b. Graph the function ƒ(x) = x 2 + 2. xƒ(x) = x 2 + 2(x, y) –2ƒ(–2) = 4 + 2 = 6(–2, 6) –1ƒ(–1) = 1 + 2 = 3(–1, 3) 0ƒ(0) = 0 + 2 = 2( 0, 2) 1ƒ(1) = 1 + 2 = 3( 1, 3) 2ƒ(2) = 4 + 2 = 6( 2, 6) Make a table of values.Then graph the data. Function Rules, Tables, and Graphs Additional Examples