Features of Functions

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.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you determine the range of a function 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

How do you determine the domain of a function from a graph?

Back

To determine the domain from a graph, identify the leftmost and rightmost points on the x-axis that the graph reaches.

Front

What does it mean for a function to be increasing?

Back

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

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if, as x-values increase, the corresponding 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

How do you find the minimum value of a function from its graph?

Back

To find the minimum value, look for the lowest point on the graph.

Front

How do you find the maximum value of a function from its graph?

Back

To find the maximum value, look for the highest point on the graph.