Functions: Domain & Range

Intro to Functions

Domain & Range

{Day 1}

Miss Danes Design Algebra II Pt. II TSAS

Open Ended

What was your favorite memory of the break?

​Relations

D = {-3, -1, 1, 4, 5}​

Order doesn't actually matter, but often you'll see least to greatest.

Domain is the set of X values

R = {-5, 0, 2, 6}

​

Don't repeat the 2​

​

Range is the set of Y values

Multiple Choice

the set of all possible y-values

• Domain

• Range

• Interval Notation

• Inequality Notation

Multiple Choice

the set of all possible x-values

• Domain

• Range

• Interval Notation

• Inequality Notation

Multiple Choice

What is the domain?

• {0, 1, 2, 15}

• (0, 1, 2, 3}

• {3, 7, 11, 15}

• {3, 7, 11, 3}

Multiple Choice

What is the range?

• {0, 1, 2, 15}

• (0, 1, 2, 3}

• {3, 7, 11, 15}

• {3, 7, 11, 3}

Multiple Choice

What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)

• -4, 4, 8, 9

• -2, 3, 8, 10

• (9, -2) ( 4, 3)

• (8, 10) (-4, 8)

Multiple Choice

Identify the domain of the following relation:

• -6, 14, 2, 28

• (-6,14), (0,32), (2,38), (4,44)

• -6, 0, 2, 4

• 14, 32, 38, 44

Multiple Choice

The set of all the inputs of a relation are called _____.

• domain

• range

Multiple Choice

The set of all the outputs of a relation are called _____.

• domain

• range

Domain (X) = {-1, 0, 1, 2, 3}

​

Range (Y) = {1, 2, 3}​

​

​Can't remember which is which? D and R are alphabetical order and so are X and Y.

"Discrete" Function is scattered points​

​

Multiple Choice

Which of these sets is the RANGE of the graph?

• {0, 6, 12, 18}

• {-2, 0, 2, 4}

• {-2, 2, 4}

• {6, 12, 18}

Multiple Choice

• Function

• Not a Function

Multiple Choice

Which number is not an element of the domain?

• 2

• 1

• 0

• 6

Fill in the Blank

What is the domain when the range is 3?

Multiple Choice

What is the domain?

• {5, 10, 15}

• {(5,2), (5,4), (10,6), (15,8)}

• {2, 4, 6, 8}

• {5, 2, 4, 10, 15}

Multiple Choice

What is the range?

• {5, 10, 15}

• {(5,2), (5,4), (10,6), (15,8)}

• {2, 4, 6, 8}

• {5, 2, 4, 10, 15}

Multiple Choice

What is the domain of the graph?

• y≥1

• x ≥ 1

• All real numbers

• none of these

Multiple Choice

What is the range of the graph?

• y≥1

• x≥1

• All real numbers

• none of these

Multiple Choice

What is the domain?

• x = 2

• −∞ < x < ∞

• y = 2

• none of these

Multiple Choice

What is the range?

• x = 2

• −∞ < x < ∞

• y = 2

• none of these

Multiple Choice

What is the proper domain?

• x≥0

• y≥0

• All real numbers

• {0, 1, 2, 3, 4,...}

Multiple Choice

What is the proper range?

• x≥0

• y≥0

• All real numbers

• {0, 1, 2, 3, 4,...}

Multiple Choice

What is the domain of the graph?

• -7 ≤ x < 5

• -3 ≤ x < 1

• -3 ≤ y < 1

• -7 ≤ y < 5

Multiple Choice

What is the range of the graph?

• -7 ≤ x < 5

• -3 ≤ x < 1

• -3 ≤ y < 1

• -7 ≤ y < 5

Poll

How I felt about today's lesson:

• 😃

• 🙂

• 🤷‍♀️

• 😒

• 😭