Functions

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 is the range of a function?

Back

The range is the set of all possible output values (y-values) of 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.

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

Give an example of a function.

Back

An example of a function is: (1, 2), (2, 3), (3, 4). Each x-value has a unique y-value.

Front

Give an example of a relation that is not a function.

Back

An example of a relation that is not a function is: (1, 2), (1, 3). The x-value 1 has two different y-values.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What is an independent variable?

Back

An independent variable is the variable that is changed or controlled in a mathematical model or experiment.