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

How can you tell if a mapping is a function?

Back

A mapping is a function if no input value is associated with more than one output value.

Front

What does it mean if x-values repeat in a mapping?

Back

If x-values repeat, it indicates that the mapping is not a function.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph is not a function.

Front

What is an example of a function?

Back

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

Front

What is an example of a non-function?

Back

An example of a non-function is the equation y^2 = x, where each x-value can correspond to two y-values.

Front

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

Back

A graph represents a function if every x-value has only one corresponding y-value.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between input and output values.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is the definition of a relation?

Back

A relation is any set of ordered pairs, which may or may not be a function.