Alg1: Discrete Relations

Representing Relations

​Domain & Range

​Discrete Relations: ​A set of individual points (ordered pairs) and can be graphed as unconnected points.

​NOTE: An Ordered Pair contains the x-coordinate and y-coordinate of any given point.

** Always written in the form (x, y) **

​

​Discrete Relations can be represented in four ways.

​1. ​List of ordered pairs ​{(-2,1), (1,4), (-2,3), (3,1), (0,-3)}

​2. Table (as pictured)

​3. Graph (as pictured)

​4. Mapping (as pictured)

Multiple Choice

The first number in an ordered pair is...

• the larger number.

• the x-coordinate.

• the y-coordinate.

Multiple Choice

The second number in an ordered pair is...

• the larger number.

• the x-coordinate.

• the y-coordinate.

Multiple Choice

In the given relation, what domain value corresponds to the range value -2?

{(-1,2), (-2,4), (2,5), (0,-2), (2,0)}

• 0

• 4

Multiple Choice

In a table you should order BOTH the x- and y-values from least to greatest.

• True

• False

Multiple Choice

The left grouping of a mapping are the values of the _____ .

• domain

• range

Multiple Choice

The right grouping of a mapping are the values of the ____ .

• domain

• range

Multiple Choice

In a mapping the arrows should point towards the _____ values.

• domain

• range

Multiple Choice

In a mapping you should order BOTH the x- and y-values from least to greatest.

• True

• False

Multiple Choice

The grid pictured (containing an x-axis and a y-axis) is called the ____________ .

• grid system

• ordered pair

• coordinate plane

Multiple Choice

The point where the two axes intersect is called ______ .

• the center

• the intersection

• the origin

Multiple Choice

Which letter is located at (4, 6)?

• Q

• R

Multiple Choice

The coordinates for Point S are

• (4, 6)

• (6, 4)

Multiple Choice

What are the coordinates of point H?

• (-4, 2)

• (4, -2)

• (-2, 4)

Multiple Choice

If point F is on the y-axis, then it's ___ coordinate has to equal 0.

• y

• x

Multiple Choice

Point F is located at ...

• (0, -3)

• (3, 0)

Multiple Choice

Writing an ordered pair without parentheses and a comma is okay.

Meaning: -8, 9 is the same as (-8, 9)

• True

• False

​Domain & Range: Discrete Relations

​Domain: The x-coordinates used in the relation

​

​Range: They y-coordinates used in a relation

​

​For Discrete Relations these are lists of numbers.

​

​Be sure to take notes on how to properly list domain and range!

​

Multiple Choice

When listing Domain and Range you should write a number as many times as it appears (feel free to repeat it).

• True

• False

Multiple Choice

BOTH domain and range should be listed in order from least to greatest.

• True

• False

Multiple Choice

All of the x values (or inputs) are called what?

• Domain

• Range

Multiple Choice

All of the y values (or outputs) are called what?

• Domain

• Range

Multiple Choice

What is the domain of this graph?

• D = {-5, -3, 2 }

• D = {-5, -3, 3}

• D = {-5, -3}

Multiple Choice

What is the range of this graph?

• R = {-5, -3, 2 }

• R = {-5, -3, 3}

• R = {-5, -3}

Multiple Choice

Identify the domain of the following relation:

• {-6, 0, 2, 4}

• {14, 32, 38, 44}

Multiple Choice

Following the rules for how to write domain and range.

What is the range?

• {0, 4, 7} 

• {0, 4, 4, 7}

• {7, 4, 0}

Multiple Choice

Following the rules for how to write domain and range.

What is the range?

• {-2, -1, 0, 3}

• {3, 0, -1, 0, -2}

• {-4, -2, 1, 2, 5}

​Make sure you wrote notes and examples in your notebook!

​

​If you scored below 70%, then you should review this lesson before attempting tonight's homework.