Lesson 3 Homework Practice - Functions

Determine whether the relation is a function. Explain. Domain: {-8, -4, 4, 8}, Range: {24, 32}.

• Yes, it is a function because each element in the domain is paired with exactly one element in the range.

• No, it is not a function because an element in the domain is paired with more than one element in the range.

• Yes, it is a function because the domain and range are both finite sets.

• No, it is not a function because the range has fewer elements than the domain.

Determine whether the relation is a function. Explain. Domain: {1, 2, 3, 4}, Range: {10, 15, 20, 25}.

• Yes, it is a function because each element in the domain is paired with exactly one element in the range.

• No, it is not a function because some elements in the domain are paired with more than one element in the range.

• Yes, it is a function because the range has more elements than the domain.

• No, it is not a function because the domain has more elements than the range.

Determine whether the relation is a function. Explain. {(5, -5), (5, 5), (6, -6), (6, 6)}.

• Yes, it is a function because each input has a unique output.

• No, it is not a function because the input 5 has two different outputs.

• Yes, it is a function because it has pairs of numbers.

• No, it is not a function because it has more than two pairs.

Determine whether the relation is a function. Explain. {(4, 11), (5, 13), (6, 15), (7, 17)}.

• Yes, it is a function because each input has a unique output.

• No, it is not a function because some inputs have multiple outputs.

Determine whether the relation is a function. Explain. x: {0, 1, 2, 3}, y: {0, 1.25, 2.50, 3.75}.

• Yes, it is a function because each x-value is paired with exactly one y-value.

• No, it is not a function because some x-values are paired with more than one y-value.

• Yes, it is a function because the y-values are unique.

• No, it is not a function because the x-values are not unique.

Nora earns $15.75 per hour. Are her wages a function of the number of hours she works? Justify your response by creating a set of ordered pairs.

• Yes, because each hour worked corresponds to a unique wage amount.

• No, because the wages do not depend on the number of hours worked.

• Yes, because the wages are constant regardless of hours worked.

• No, because the wages vary with different hours worked.

Determine whether the relation is a function. Explain. {(2, 4), (2, 8), (3, 6), (4, 8)}.

• Yes, it is a function because it has pairs of numbers.

• No, it is not a function because it has more than two pairs.

• No, it is not a function because the input 2 has two different outputs.

• Yes, it is a function because each input has a unique output.

Which representation does NOT show y as a function of x?

• A

• B

• C

• D

Is this is a function or not a function?

• Function
• Not a Function

The given relation is a function.

• True

• False

Tags

CCSS.8.F.A.1