1. 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.
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2. 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) = = 6 (–2, 6)
–1 ƒ(–1) = = 3 (–1, 3)
0 ƒ(0) = = 2 ( 0, 2)
1 ƒ(1) = = 3 ( 1, 3)
2 ƒ(2) = = 6 ( 2, 6)
Make a table of values.
Then graph the data.
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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.
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