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).

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).

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.

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.

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).

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.

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.

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.

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.

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.