196 Chapter 2 Linear Equations in Two Variables and Functions Calculator Connections Topic: Using the Table and Value Features The values of in Example 3 can be found using a Table feature. Function values can also be evaluated by using a Value feature. The value of g142 is shown here. Y1 12 x 1 g1x2 A function may be evaluated at numerical values or at algebraic expressions, as shown in Example 4. Evaluating Functions g1x2 f1x2 3x 5, x2 2x Example 4 Given the functions defined by and find the function values. a. f1t2 b. g1w 42 c. f 1t2 Solution: a. f1x2 x2 2x f1t2 x t 1t22 21t2 Substitute for all values of x in the function. Simplify. b. t2 2t g1x2 3x 5 g1w 42 x w 4 31w 42 5 Substitute for all values of x in the function. Simplify. 3w 12 5 3w 17 f t 1x2 x2 2x c. Substitute for x. Simplify. f 1t2 1t22 21t2 Skill Practice Given the function defined by g(x) 4x 3 , find the function values. 10. g(a) 11. g(x h) 12. g(x ) t2 2t Answers 10. 11. 12. 4x 3 4a 3 4x 4h 3
miller_intermediate_algebra_4e_ch1_3
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