Name: 8.1 8.1 Introduction to Functions A. Function A relation is a _____________________________ sets of information. A function is a _________________ in which no ordered pairs have the same _____________ coordinates. It is a rule that takes an ____________, does _____________ to it, and gives a corresponding ________________. B. Function Notation A function can be described using ___________________________________. If the name of the function is ________ and the input is _________, then the output is called _________, read as “___________”. When you see _____ think __. EX 1: a. What is f (x) ? b. What is g(t) ? EX 2: Let f (x) = −x − 5 . Find: a. f (2) = b. f (−1) = c. f (z) = EX 3: A patient’s weekly dosage of 500 mg of a medication is reduced by 50 mg/wk. a) Express in function notation the relationship between the patient’s weekly dosage d(x) and the number of weeks x. b) Find d(2) and interpret its meaning in this situation. C. Domain and Range Domain Range Highlight the Domain: Highlight the Range: x y x y 4 6 8 10 0 2 2 0 4 6 8 10 0 2 2 0 Identify the Domain: Domain: ___________________________ Maya Lanzetta Identify the Range: Range: ___________________________ MAT 091 Mighty is geometry; joined with art, resistless. ~ Euripides D. Vertical Line Test E. Types of Functions Function Linear Function Constant Function Polynomial Function Rational Function Absolute Value Function Domain and Range Challenge: Without using + or – signs, arrange five 8s so that they equal 9.

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