Function Features

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 based on its domain.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches.

Front

What does it mean for a function to be increasing on an interval?

Back

A function is increasing on an interval if, as the x-values increase, the y-values also increase.

Front

What does it mean for a function to be decreasing on an interval?

Back

A function is decreasing on an interval if, as the x-values increase, the y-values decrease.

Front

What is a minimum value of a function?

Back

The minimum value of a function is the lowest point on the graph of the function.

Front

What is a maximum value of a function?

Back

The maximum value of a function is the highest point on the graph of the function.

Front

What is an interval in mathematics?

Back

An interval is a range of numbers between two endpoints, which can be open or closed.

Front

What is the difference between open and closed intervals?

Back

An open interval does not include its endpoints, while a closed interval includes its endpoints.

Front

How do you express a closed interval?

Back

A closed interval is expressed using square brackets, e.g., [a, b].

Front

How do you express an open interval?

Back

An open interval is expressed using parentheses, e.g., (a, b).