Function or Not

Front

What is a function?

Back

A function is a relation where every input (x-value) has exactly one output (y-value).

Front

What is the definition of input in a function?

Back

An input is a value that is fed into a function, typically represented as 'x'.

Front

What is the definition of output in a function?

Back

An output is the result produced by a function for a given input, typically represented as 'y'.

Front

What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

How can you determine if a set of points represents a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x-value, there is exactly one y-value.

Front

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

Back

The relation {(1, 2), (1, 3)} is not a function because the input '1' has two different outputs.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.