A B a b f Domain Codomain Preimage Image, f(a) = b Range A function, f : A → B Notes Definition I More Definitions Definition Let f1 and f2 be functions
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A B a b f Domain Codomain Preimage Image, f(a) = b Range A function, f : A → B Notes Definition I More Definitions Definition Let f1 and f2 be functions
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We say that f is invertible Note the importance of the hypothesis: f must be a bijection, otherwise the inverse function is not well defined For example, if
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HW: Find the domain and range Is the function continuous or discrete? Page 14 Chapter 1 Intro to Functions Notes
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Math 150 Lecture Notes Introduction to Functions The term function is used to describe a dependence of one quantity on another A function f is a rule that
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This is a self contained set of lecture notes for Math 221 The notes Note that when we say that a function is continuous on some interval it is understood that the domain PDF produced by some word processors for output purposes only
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numbers a satisfying are called negative For any number a, we define the absolute value a of a as follows: { Note: a is always positive, except when
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F IF 1 - Understand that a function from one set (called the domain) to another set (called the range) F IF 2 - Use function notation, evaluate functions for inputs
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Note that a − x = x − a The absolute value function is written as y = x We define this function as y =
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Section 3 6 Notes Example 3: Determine whether each relation is a function Most useful functions have an infinite number of ordered pairs and are usually
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