Function Review

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 a vertical line intersects the graph at more than one point, it is not a function.

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. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed. Examples include quadratic functions, exponential functions, and trigonometric functions.

Front

What is the domain of a function?

Back

The domain of a function is the complete set of possible values of the independent variable (input) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the complete set of possible values of the dependent variable (output) that results from using the function.

Front

What is a dependent variable?

Back

A dependent variable is a variable whose value depends on the value of another variable. In a function, it is typically the output.

Front

What is an independent variable?

Back

An independent variable is a variable that stands alone and isn't changed by other variables. In a function, it is typically the input.

Front

How do you identify a function from a set of ordered pairs?

Back

A set of ordered pairs represents a function if no two pairs have the same first element (input) with different second elements (outputs).

Front

What is a relation?

Back

A relation is a set of ordered pairs. It can represent a function, but not all relations are functions.