Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a graph of a function. If any vertical line intersects the graph more than once, then the graph is not a function.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every x-value (input) has exactly one corresponding y-value (output).

Front

What is a domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (x-values).

Front

What is a range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (y-values).

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented in the Cartesian plane as a straight line.

Front

What is a quadratic function?

Back

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

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions based on the input value.

Front

What is an independent variable?

Back

An independent variable is a variable that represents the input of a function, often denoted as x.

Front

What is a dependent variable?

Back

A dependent variable is a variable that represents the output of a function, often denoted as y.