Relations and Functions Quiz

Choose the correct term for each definition.​

​ (a)   ​ - the set of all the inputs of a relation

​ ​ (b)   - a pairing of inputs and outputs

​​ (c)   - a relation that pairs each input with exactly one output

​ (d)   ​ - the set of all the outputs of a relation

• Set
• Relation
• Function
• Domain
• Range
• Coordinate Pair

Choose the correct term for each definition.​

​ ​​ ​ (a)   - a quarter of the coordinate plane

​ ​ (b)   - a pair of numbers used to determine the position of a point in a graph

​​ ​ (c)   - a collection of things

​ ​​ (d)   - a two-dimensional surface formed by two perpendicular number lines

• Set
• Relation
• Function
• Quadrant
• Coordinate Plane
• Coordinate Pair

Determine if each relation shown is a function.

Is Relation A a function? ​​ (a)  

Is Relation B a function? ​​ (b)  

Is Relation C a function? ​ ​ (c)  

• Yes
• No

Choose the correct domain and range for this relation.

Make sure to choose the BEST answers.

d

e

{ 2, -1, 4, 6, 2 }

{ -3, 1, 2, 4, 5 }

2, -1, 4, 6, 2

{ 4, -3, 1, 5, 2 }

4, -3, 1, 5, 2

{ -1, 2, 4, 6 }

Write the relation shown as a set of ordered pairs.

Make sure you choose the BEST answer.

• (-2, 1) (-2, 3) (0, -3) (1, 4) (3, 1)

• (-3, 0), (1, -2), (1, 3), (3, -2), (4, 1)

• { (-2, 1), (-2, 3), (0, -3), (1, 4), (3, 1) }

• { (-3, 0), (1, -2), (1, 3), (3, -2), (4, 1) }

Complete the table using the rule y = 3x - 2.

a

c

d

g

j

4

1

-5

12

13

0

-12

8

-2

-14

Graph the function shown on the table.

For each situation, state whether the relation is discrete or continuous.

A Boeing 747 jet airplane uses, on average, 7.5 gallons of fuel to fly 1 mile. ​ (a)  

A store sells tennis balls for $1.50 each. ​ ​ (b)  

During a recent snowstorm, 2 inches of snow fell every hour. ​ (c)  

• Discrete
• Continuous

Foe each graph shown, state if it is a function or not.

Graph A ​ (a)  

Graph B ​ (b)  

Graph C ​ (c)  

Graph D ​ (d)  

• Yes
• No

Choose the response that accuratly describes the graph shown.

• The graph IS NOT a function.

  The graph is discrete

  Domain: { -2, -1, 0, 1, 2 }

  Range: { -2, 1, 3, 5 }

• The graph IS a function.

  The graph is continuous

  Domain: { -2, -1, 0, 1, 2 }

  Range: { -2, 1, 3, 5 }

• The graph IS NOT a function.

  The graph is continuous

  Domain: { -2, 1, 3, 5 }

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

• The graph IS a function.

  The graph is discrete

  Domain: { -2, 1, 3, 5 }

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