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

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Presentation transcript:

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

Functions 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. DomainRange FUNCTION

Functions 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. DomainRange FUNCTION

Functions 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. DomainRange NOT A FUNCTION

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)

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