It’s a beautiful day, don’t let it get away.

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Presentation transcript:

It’s a beautiful day, don’t let it get away. 2.1 Functions It’s a beautiful day, don’t let it get away. -U2

Functions - Vocabulary X-Variable Y-Variable Domain of the function Independent variable Control variable Set of Inputs Range of the function Dependent variable Set of Outputs “x corresponds to y” “y depends on x”

Functions FUNCTION Domain Range A function is a relation in which each value of the control variable x is paired with only one value of the dependent variable y. FUNCTION Domain Range

Functions FUNCTION Domain Range A function is a relation in which each value of the control variable x is paired with only one value of the dependent variable y. FUNCTION Domain Range

Functions NOT A FUNCTION Domain Range A function is a relation in which each value of the control variable x is paired with only one value of the dependent variable y. NOT A FUNCTION Domain Range

Function or Not? Determine which of the following relations represents a function. 1) 2) 3)

Function or Not? Determine which of the following relations represents a function. 1) 2) 3) 4)

Function Notation Find the following values for the function given: 1) 2) 3)

Difference Quotient The Difference Quotient: Simplify the difference quotient given the following function.

Domain of a Function The domain of a function is the set of all values of x for which the f (x) is a real number. Find the domain of the following function: 1) Polynomial function:

Domain of a Function The domain of a function is the set of all values of x for which the f (x) is a real number. Find the domain of the following function: 2) Rational function:

Domain of a Function The domain of a function is the set of all values of x for which the f (x) is a real number. Find the domain of the following function: 3) Square root function:

Computations of a Function Given f and g below, find the following and determine the domain in each case. 1) 2) 3) 4)

Group Practice!!

It’s a beautiful day, don’t let it get away. 2.1 Functions Homework#16: p.69 #39, 47 – 59 Odd, 67, 69, 73 – 77 Odd It’s a beautiful day, don’t let it get away. -U2