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 is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If any vertical line intersects the graph more than once, it is not a function.

Front

What does it mean if an input value goes to multiple output values?

Back

If an input value goes to multiple output values, it means the relation is not a function.

Front

How can you tell if a mapping diagram represents a function?

Back

A mapping diagram represents a function if each input is connected to exactly one output.

Front

What is the definition of a mapping diagram?

Back

A mapping diagram is a visual representation of a function that shows how each input is paired with an output.

Front

What does it mean for x-values to repeat in a relation?

Back

If x-values repeat in a relation, it indicates that the relation is not a function, as one input cannot have multiple outputs.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function has at least one input with multiple outputs.

Front

Can a vertical line intersect a function graph more than once?

Back

No, if a vertical line intersects a function graph more than once, it is not a function.

Front

What is an example of a function?

Back

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

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the input 1 has two different outputs.