Function or Non-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 a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than one output (y-value).

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph of the relation at more than one point, then it 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 corresponds to one y-value.

Front

What is an example of a non-function?

Back

An example of a non-function is the equation x^2 + y^2 = 1, where some x-values correspond to two different y-values.

Front

What does it mean for a relation to be one-to-one?

Back

A one-to-one relation is a function where each output (y-value) corresponds to exactly one input (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

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 mapping diagram?

Back

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