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Section 2.4 Functions and graphs

# Outline functions representing functions the domain

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Unformatted text preview: ions The Domain and Range Evaluating Functions Average Rate of Change Numerical Representation Example 1 Which table represents a function from X = {1, 2, 3, 4, 5} to Y = {0, 1, 2, 3, 4, 5}? Discuss the range. x f (x ) x f (x ) 1 3 1 5 2 3 2 4 3 1 2 3 4 1 4 2 5 0 5 1 2 Do the ordered pairs {(−2, 7), (−1, 6), (0, 0), (1, −1), (1, −3), (2, 4)} represent a function? Outline Functions Representing Functions The Domain and Range Evaluating Functions Average Rate of Change The Domain and Range of a Function The domain D of a function is the set of allowable inputs. The range R is the set of valid outputs. If the domain of a function given by a formula is not speciﬁed, the domain is the largest subset of R for which f (x ) is a real number. This is called the natural domain of th...
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