Functions and relations

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.

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)}

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.

Do you think the graph below is or is not a function. Explain why you believe your answer is correct.

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The numbers (3, 4) represent a(n) _____.

• x-coordinate

• x-axis

• y-coordinate

• y-axis

• ordered pair

In the ordered pair (3, 4), 3 represents a(n) _____.

• x-coordinate

• x-axis

• y-coordinate

• y-axis

• ordered pair

What is the definition of function?

• Has inputs and outputs
• Every input has only ONE output
• Inputs have different outputs every time
• x-values and y-values

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.

Is this mapping a function or not a function? 

• Function
• Not a Function

Is this table a function or not a function? 

• Function
• Not a Function