Relations and Functions

Which of the relations below is a function?

• {(2, 3), (3, 4), (5, 1), (2, 4)}

• {(2, 3), (3, 4), (6, 2), (7, 3)}

• {(2, 3), ( 3, 4), (6, 2), (3, 3)}

Tags

CCSS.8.F.A.1

Given the relation A = {(5, 2), (7, 4), (9, 10), (x, 5)}. Which of the following values for x will make relation A a function?

• 7

• 9

• 4

Tags

CCSS.8.F.A.1

The graph of a relation is shown at the right. Is this relation a function?

• Yes

• No

• Cannot be determined from a graph

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

The graph of a relation is shown below. Is the relation a function?

• Yes

• No

• Cannot be determined from a graph

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

Given f(x) = 3x + 7, find f(5).

• 15

• 22

• 42

Tags

CCSS.HSF.IF.A.2

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.
• Yes, because each x-value has only one y-value paired with it.
• No, because the x-value 11 has two y-values pair with it.
• No, because each x-value has only one y-value paired with it.

Tags

CCSS.8.F.A.1

What is the range?

• the set of all x-values

• the set of all y-values

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

All of the x values or inputs are called what?

• Domain
• Range
• Relation
• Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain.
Remember:  Domain is x 
(x,y)

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D:{0, 1, 2, -4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}

Tags

CCSS.HSF.IF.B.5

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the range of the graph?
Remember: Range is y! 

• 1 ≤ x ≤ 5
• 1 < x < 5
• 1 ≤ y ≤ 5
• 1 < y < 5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5