Function Rules, Tables, and Graphs

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Presentation transcript:

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

Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 (continued) b. Graph the function ƒ(x) = x2 + 2. x ƒ(x) = x2 + 2 (x, y) –2 ƒ(–2) = 4 + 2 = 6 (–2, 6) –1 ƒ(–1) = 1 + 2 = 3 (–1, 3) 0 ƒ(0) = 0 + 2 = 2 ( 0, 2) 1 ƒ(1) = 1 + 2 = 3 ( 1, 3) 2 ƒ(2) = 4 + 2 = 6 ( 2, 6) Make a table of values. Then graph the data. 5-3

Function Rules, Tables, and Graphs ALGEBRA 1 LESSON 5-3 1. Model y = –2x + 4 with a table of values and a graph. x y = –2x + 4 (x, y) –1 y = –2(–1) + 4 = 6 (–1, 6) 0 y = –2(0) + 4 = 4 (0, 4) 1 y = –2(1) + 4 = 2 (1, 2) 2 y = –2(2) + 4 = 0 (2, 0) 2. Graph y = |x| – 2. 3. Graph ƒ(x) = 2x2 – 2. 5-3