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 does it mean if a relation is not a function?

Back

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

Front

How can you determine if a graph 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 is a function by checking if any vertical line crosses the graph more than once.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must still have only one output.

Front

What is an example of a function?

Back

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

Front

What is an example of a non-function?

Back

The relation defined by the equation x^2 + y^2 = 1 is not a function because a single x-value can correspond to two different y-values.

Front

What are inputs and outputs in a function?

Back

Inputs are the values you put into a function (x-values), and outputs are the results you get (y-values).

Front

What is a mapping diagram?

Back

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

Front

What is the domain of a function?

Back

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