Algebra 1: Topic 3 (Linear Functions)

1. Let 𝐹 be a set of ordered pairs such that {(−3,5),(3,0),(2,2)}. Which of the following statements about the relation is true?

• The relation is a function because no value in the domain goes to multiple values in the range.

• The relation is a function because all values in the range are different.

• The relation is not a function because one value in the domain goes to multiple values in the range.

• The relation is not a function because there is an ordered pair where the domain is equal to the range.

Tags

CCSS.8.F.A.1

Which choice also represents the relation shown in the sets below as correct ordered pairs?

• {(1,2),(2,4)}

• {(2,1),(4,2),(6,2)}

• {(1,2),(2,4),(2,6)}

• {(2,2),(2,4),(2,6)}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Is the relation above a function?

• Yes, because it doesn’t show any repeating 𝑥 values in the domain.

• Yes, because every 𝑦 value in the range is different.

• No, because one 𝑥 value in the domain goes to multiple different 𝑦 values in the range.

• No, because there is an 𝑥 value in the domain that is equal to a 𝑦 value in the range.

Tags

CCSS.8.F.A.1

If 𝑓(𝑥)=2𝑥+4, which of the following domain values would cause 𝑓(𝑥)=10?

• x = 10

• x = 3

• x = 6

• x =5

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Let 𝑓(𝑥)=𝑥−7. Find the value of 𝑓(2).

• 5

• -7

• 7

• -5

Tags

CCSS.HSF.IF.A.2

Is this set of ordered pairs a function or not a function? 

• Function
• Not a Function 

Tags

CCSS.8.F.A.1

Is this graph a function or not a function? 

• Function 
• Not a Function

Which graph does NOT pass the vertical line test?

• Graph 1
• Graph 2
• Graph 3
• Graph 4

Does this mapping diagram represent a function?

• No, because an input value goes to multiple output values
• Yes, because each input goes to one and only one output

Tags

CCSS.8.F.A.1

The relation in the graph is..

• a function but not a one-to-one function.

• a one-to-one function.

• not a function