Function or Not

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 a vertical line intersects the graph at more than one point, it is not a function.

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 pairs have the same first element (x-value) with different second elements (y-values).

Front

Is the mapping diagram a function if it has multiple arrows from one input?

Back

No, if a mapping diagram has multiple arrows from one input to different outputs, it is not a function.

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 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 relation that is not a function?

Back

An example of a relation that is not a function is the set of ordered pairs {(1, 2), (1, 3)}, where the input 1 has two different outputs.

Front

How can you tell if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to only one output (y-value).

Front

What is the definition of a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is connected to its output.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that it is a function because each input has only one output.