5-1 Understand Relations and Functions

Chapter 5
Lesson 1

Understanding Relations & Functions

Match

Match the following

• A  __________ is any set of ordered pairs, and can be represented as a table or as a graph. 

• The_________ of the relation is the set of x-coordinates.

• The _______ of the relation is the set of the y-coordinates.

• A _______ is a relation in which every member of the domain is paired with 

  exactly one member of the range. 

  
  

relation

domain

Range

Function

• relation
• domain
• Range

• Function

Multiple Choice

A relation is shown in the table below where x represents the independent variable and y represent the dependent variable. Decide whether the table can represent a function or cannot represent a function.

• The table cannot represent a function

• The table can represent a function

Multiple Choice

Identify the domain and range for the relation.

{(3,8), (2,3), (1,0), (0,-1), (-1,0)}

• Domain: -1...3

  Range: -1...8

• Domain: {-1, 0, 3, 8}

  Range: {-1, 0, 1, 2, 3}

• Domain: -1...8

  Range: -1...3

• Domain: {-1, 0, 1, 2, 3}

  Range: {-1, 0, 3, 8}

Multiple Choice

There is NO repeating of x values in a function

• True

• False

Independent Variable:a variable (often denoted by x ) whose

variation does not depend on that of another.

Dependent Variable: a variable (often denoted by y ) whose
value depends on that of another.

The domain is the ____Independent ____ variable b/c it can be any value.
The range is the

_Dependent_ variable because it _represents all possible values of y.

REVIEW TIME

Multiple Select

Determine which of the following points are a solution(s) of the given system of equations.

2𝑥 − 8 = y and − 𝑥 + 1 = y

• (2, 2)

• (3,2)

• (0, 2)

• (3,−2)

• (3,3)

Multiple Choice

A linear relationship is given in the table below. Determine the slope of the relationship.

• -9

• 9

• -1/9

• 1/9

Multiple Choice

An equation is given. 𝑥² = 49 What are the values of 𝑥?

• 6, -7

• 6, -6

• 7, -7

• 7, -8

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