Function vs Not a Function

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 if a relation is not 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

Example of a function: (1, 2), (2, 3), (3, 4). Is this a function?

Back

Yes, because each input has exactly one output.

Front

Example of a relation: (1, 2), (1, 3), (2, 4). Is this a function?

Back

No, because the input '1' has two outputs (2 and 3).

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

If a graph has a curve that loops back, is it a function?

Back

No, because it fails the vertical line test.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph.

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 a table of values?

Back

A table of values lists pairs of input and output values, which can help determine if a relation is a function.