Identifying Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

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

Back

A set of ordered pairs is a function if no two different ordered pairs have the same first element.

Front

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

Back

Yes, this set is a function because each input (first element) is unique.

Front

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

Back

No, this set is not a function because the input '1' is related 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 by checking if any vertical line intersects the curve at more than one point.

Front

Does the mapping represent a function? (Example: 1 -> 2, 1 -> 3)

Back

No, this mapping does not represent a function because the input '1' has two different outputs.

Front

Does the mapping represent a function? (Example: 1 -> 2, 2 -> 3)

Back

Yes, this mapping represents a function because each input has a unique output.

Front

What is a domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) for the function.

Front

What is a range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.