Domain and Range

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 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

How can you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What does a positive slope indicate about a function?

Back

A positive slope indicates that as the input values increase, the output values also increase.

Front

What does a negative slope indicate about a function?

Back

A negative slope indicates that as the input values increase, the output values decrease.

Front

What is the y-intercept of a function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, represented as (0, y).

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an example of a function that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 is related to two different outputs.

Front

What is the difference between discrete and continuous functions?

Back

Discrete functions have distinct, separate values, while continuous functions have an unbroken range of values.