Identifying Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

Tags

CCSS.8.F.A.1

Front

Does this mapping represent a function? (Example: { (1, 2), (1, 3) })

Back

No, because the input value 1 is associated with multiple output values (2 and 3).

Tags

CCSS.8.F.A.1

Front

Does this mapping represent a function? (Example: { (1, 2), (2, 3) })

Back

Yes, because each input value is associated with only one output value.

Tags

CCSS.8.F.A.1

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent a point in a coordinate system, where x is the input and y is the output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Do these ordered pairs represent a function? (Example: { (1, 2), (2, 2), (1, 3) })

Back

No, because the input value 1 is associated with multiple output values (2 and 3).

Tags

CCSS.8.F.A.1

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between input values and output values, showing how each input is connected to its corresponding output.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Does this mapping diagram represent a function? (Example: Input 1 -> Output 2, Input 1 -> Output 3)

Back

No, because the input value 1 goes to multiple output values.

Tags

CCSS.8.F.A.1

Front

What is a table of values?

Back

A table of values lists pairs of input and output values, often used to represent a function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

Does this table represent a function? (Example: Input: 1, 2; Output: 2, 2)

Back

Yes, because each input value corresponds to exactly one output value.

Tags

CCSS.8.F.A.1

Front

Does this table represent a function? (Example: Input: 1, 2; Output: 2, 3)

Back

Yes, because each input value corresponds to exactly one output value.

Tags

CCSS.8.F.A.1