Identifying functions

Front

What is a function?

Back

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

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

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

Back

Not a Function; the input '1' is associated with two outputs (2 and 4).

Front

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

Back

Function; each input is associated with exactly one output.

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

What is an ordered pair?

Back

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

Front

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

Back

The first set {(1,2), (2,3), (3,4)} is a function; the second set is not because '1' is associated with two outputs.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with an output.

Front

If a function has the input x = 5 and outputs y = 10 and y = 15, is it a function?

Back

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

Front

What is the definition of a domain in a function?

Back

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