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 a graph?

Back

If any vertical line intersects the graph at more than one point, the relation 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 a vertical line crosses the graph more than once.

Front

Give 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

Give an example of a non-function.

Back

An example of a non-function is the relation defined by the equation x^2 + y^2 = 1, which has two y-values for some x-values.

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

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

Back

A one-to-one function is a function where each output value is paired with exactly one input value.

Front

What is a mapping diagram?

Back

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