212 Chapter 2 Linear Equations in Two Variables and Functions h1x2 12 x 1 f 1x2 2x 4 Concept 1: Linear and Constant Functions 7. Fill in the blank with the word vertical or horizontal. The graph of a constant function is a ______ line. f 1x2 mx b, the graph to identify the domain and Then use the graph to identify the domain and range of f. range of g. x 8. For the linear function defined by identify the slope and y-intercept. 9. Graph the constant function Then use 10. Graph the linear function g 5 4 3 2 1 54 321 1 2 3 4 5 1 2 3 4 5 y x 5 4 3 2 1 543 21 1 2 3 4 5 1 2 3 4 5 x f(x) 12 14 1 2 5 4 y 54 3 21 1 2 3 4 5 1 2 3 4 5 x 3 2 1 5 4 y 543 21 1 2 3 4 5 1 2 3 4 5 x 3 2 1 x g(x) 2 1 0 1 2 1 x x f(x) 2 1 14 12 g1x2 f 2x 1. 1x2 2. 5. Given: a. Evaluate and if possible. b. Write the domain of f in interval notation. 6. The force (measured in pounds) to stretch a certain spring x inches is given by Evaluate f(3) and f(10), and interpret the results in the context of this problem. f 1x2 3x. f 1f 52, 102, f 132, f 142, 4. Given a. Evaluate h(0), h(1), h(2), and h(3), if possible. b. Write the domain of h in interval notation. Concept 2: Graphs of Basic Functions For Exercises 11–16, sketch a graph by completing the table and plotting the points. (See Examples 1–2.) 11. 12. g1x2 f1x2 0x 0
miller_intermediate_algebra_4e_ch1_3
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