Section 2.4 Functions and graphs

What is its domain and range 3 f x x is the function

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Unformatted text preview: nd range? 3 f (x ) = x is the function that sends each real number to itself. What is its domain and range? 4 x 2 + y 2 = 1 does not describe a function, because x = 0 is assigned to both y = 1 and y = −1. Outline Functions Representing Functions The Domain and Range Evaluating Functions Average Rate of Change The Graph of a Function The graph of f is the set of ordered pairs {(x , f (x )) | x ∈ X }. The graph of f intersects any vertical line in at most one point because each x in X is assigned to exactly one value y ∈ Y . This is called the vertical line test. f (x ) y = x2 4 3 2 (x , x 2 ) 1 -2 -1 1 2 x Outline Functions Representing Functions The Domain and Range Evaluating Functions Average Rate of Change Representing Functions There are four ways to represent a function: Verbally (as a description via words); Numerically (as a table of values); Graphically (plotting the points on the functions graph); Algebraically (as an explicit formula). Outline Functions Representing Funct...
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