Section 2.6 Introduction to Functions 199 Section 2.6 Practice Exercises Study Skills Exercise Look back over your notes for this chapter. Have you highlighted the important topics? Have you underlined the key terms? Have you indicated the places where you are having trouble? If you find that you have problems with a particular topic, write a question that you can ask your instructor either in class or in the instructor’s office. Vocabulary and Key Concepts 1. a. Given a relation in x and y, we say that y is a of x if for each element x in the domain, there is exactly one value of y in the range. b. If a line intersects the graph of a relation in more than one point, the relation is not a function. c. Function notation for the relation y 2x 1 is f(x) . d. The set of x values in a function is called the of the function, and the set of y values is called the of the function. e. To find the domain of a function defined by y f(x), exclude all values of x that make the of a fraction equal to zero. Also exclude all values of x that make the expression within a square root . x 4 x 2 f1x2 f. Given , the domain is restricted so that x . f1x2 1x 3 g. Given , the domain is restricted so that x . h. Given a function defined by y f(x), the statement f(1) 6 is equivalent to what ordered pair? Review Exercises 2. Simplify, if possible. 116 116 8 0 0 6 a. b. c. d. For Exercises 3–4, a. write the relation as a set of ordered pairs, b. identify the domain, and c. identify the range. 3. 4. y x 5 4 3 2 1 543 1 2 3 4 5 2 1 1 2 3 4 5 Parent, x Child, y Kevin Kayla Kevin Kira Kathleen Katie Kathleen Kira
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