8.5G (Identify functions)

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, then the graph is not a function.

Front

What does it mean for a mapping to be a function?

Back

A mapping is a function if each input (x-value) is paired with exactly one output (y-value).

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the equation x^2 + y^2 = 1, where some x-values correspond to multiple y-values.

Front

How can you tell if a table represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

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

What is the definition of 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 the definition of 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.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if it passes the vertical line test, meaning no vertical line intersects the graph at more than one point.