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

What does it mean for a set of ordered pairs to represent a function?

Back

It means that no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

Identify if the following set of ordered pairs is a function: {(1,2), (2,3), (1,4)}

Back

No, because the input '1' is associated with two different outputs (2 and 4).

Front

Identify if the following set of ordered pairs is a function: {(3,5), (4,5), (5,5)}

Back

Yes, because each input is associated with exactly one output.

Front

What is a mapping diagram?

Back

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

Front

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

Back

No, because the input '1' maps to two different outputs (2 and 3).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function. If a vertical line intersects the curve at more than one point, it is not a function.

Front

Identify if the following mapping represents a function: Input: 2 -> Output: 4, Input: 3 -> Output: 5, Input: 2 -> Output: 6

Back

No, because the input '2' maps to two different outputs (4 and 6).

Front

Which of the following sets of ordered pairs is a function? {(1,2), (2,3), (3,4)}, {(1,2), (1,3), (2,4)}

Back

{(1,2), (2,3), (3,4)} is a function because each input is unique.

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input, meaning no two different inputs map to the same output.