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Intro-To-Functions

# Intro-To-Functions - Introduction To Functions A function...

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From MathMotivation.com – Permission Granted For Use and Modification For Non-Profit Purposes Introduction To Functions A function from the set of x-values to the set of y-values is a rule or formula where x- values are input and the function assigns exactly 1 y-value to each x-value that is input. The set of all x-values that are input is called the DOMAIN. The set of all y-values that correspond to the given x-values is called the RANGE. Examples of equations that represent y as a function of x, and some that don’t: y = 2x + 1 is a function of x since each x-value input results in only 1 y-value. y =x is NOT a function of x since x=9 corresponds to both y = 9 and y = -9. y = x 2 is a function of x since each x-value input results in only 1 y-value. y 2 = x is NOT a function of x since x = 4 results in y = 2 and y = -2. y = ±√ x is NOT a function of x since x = 4 results in y = 2 and y = -2. Function Notation We may write a formula that defines a function with what is called "function notation". We replace y with f(x). We call f(x) "f of x" and it means "the y=value when x is input." Example: If f(x) = 2 x + 1, what is f ( 3 ), f ( - 5 ), and f( A )?

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