Section 2.4 Functions and graphs

# Section 2.4 Functions and graphs - Outline Functions...

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Outline Functions Representing Functions The Domain and Range Evaluating Functions Average Rate of Change Functions and Their Graphs Math 1050 K. J. Platt, Ph.D. Department of Mathematics Snow College Spring 2014

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Outline Functions Representing Functions The Domain and Range Evaluating Functions Average Rate of Change Outline 1 Functions 2 Representing Functions The Graph of a Function Ways to Represent Functions 3 The Domain and Range 4 Evaluating Functions 5 Average Rate of Change
Outline Functions Representing Functions The Domain and Range Evaluating Functions Average Rate of Change The Definition of a Function Definition Suppose X and Y are sets. A function from X to Y is a rule that assigns to each x in X exactly one element y in Y . A function is a special type of relation between sets. We denote a function from X to Y by f : X Y , where f is the name of the function. The set X is called the domain of f . We call Y the target set of f . We write y = f ( x ) for the assignment of x X to y Y The element y = f ( x ) is called the function value at x .

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