Functions

Domain & Range

Counting

numbers:

Integers:

Positive numbers:

Real Numbers:

Remeber:

{1, 2, 3, …}

{…, -3, -2, -1, 0, 1, 2, 3, …}

x > 0

All rational and irrational numbers.

Aim: State the domain and range in order to develop a sense of a function.

Domain:

Range:

Definitions

1. The input of a function.2. What you start with.

1. The output of a function.2. What you end with.

Domain

Range

Aim: State the domain and range in order to develop a sense of a function.

Domain:

Range:

Graphs

Domain: Range:

Domain: Range:

all Real #sy > -3

2 < x < 14

1 < y < 8

all Real #s

y = 14

Aim: State the domain and range in order to develop a sense of a function.

What is the domain of the function

?

Equations

{x|x all real numbers, x ≠ 5}

What is the domain of the function over the set of real numbers?{x|x > -8}

What is the range of the function ?{y|y > 0}

Aim: State the domain and range in order to develop a sense of a function.

An artist makes hand-painted greeting cards that

she sells online for three dollars each. In addition, she charges three dollars for postage for each package of cards that she ships, regardless of size. The total amount, y, that a customer pays for a package of cards is a function of the number of cards purchased, x.

a. What is the domain of the function?

b. What is the range of the function?

Real Life

x > 1

y > 6

Aim: State the domain and range in order to develop a sense of a function.