Name______________________________ Date: _________________ Block: _______ Ms. Gallagher Warm UpFind the domain and range from the following relations 1. (3, 2); (1, 4); (0, -4); (-2, 6); (-10, 9) 2. (2, 1); (2, 2); (2, 3); (2, 4); (2, 5) 1 2 3 4 3. -3 -7 4. Notes Finding Domain and Range by looking at the graph Example One Domain and Range of a line y y y 4 4 4 3 3 3 2 2 2 1 1 1 x -4 -3 -2 -1 1 2 3 4 5 x -4 -3 -2 -1 1 2 3 4 5 x -4 -3 -2 -1 1 -1 -1 -1 -2 -2 -2 -3 -3 -3 -4 -4 -4 2 3 4 5 Example Two Domain and Range of Quadratic Functions y 8 4 3 2 5 1 -1 1 2 3 4 1 4 x -2 4 6 2 -3 y 7 3 -4 y 5 x -6 3 -1 -5 -4 -3 -2 -1 -3 x -3 -4 -2 3 -2 1 -3 2 -1 2 -2 1 -1 1 2 3 4 5 6 -4 Example Three Domain and Range of Square Root Functions y y 4 6 3 5 2 4 1 3 x -4 -3 -2 -1 1 2 3 y 6 5 4 3 2 4 2 1 -1 1 x -2 -4 -3 -2 -1 1 -3 -1 -4 -2 2 3 4 x 5 -2 -1 1 2 3 -1 -2 Example Four Domain and Range of Rational Functions y y 2 5 1 4 x 3 -6 -3 -2 -1 1 -2 1 -3 x -1 -4 -1 2 -2 -5 1 2 3 4 5 6 7 -4 -1 -5 -2 -6 -3 Homework: Worksheet 2 3 4 5 6 7
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