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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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 Spring '14
 K.JPlatt
 Algebra, Rate Of Change

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