Graph Characteristics Practice

Front

What is the definition of a function's increasing interval?

Back

The increasing interval of a function is the range of x-values over which the function's output (y-values) is rising as x increases.

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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 does it mean for a function to have an absolute minimum?

Back

An absolute minimum is the lowest point on the graph of a function over its entire domain.

Front

What is an absolute maximum?

Back

An absolute maximum is the highest point on the graph of a function over its entire domain.

Front

What is a relative minimum?

Back

A relative minimum is a point on the graph of a function where the function value is lower than the values of the function at nearby points.

Front

What is a relative maximum?

Back

A relative maximum is a point on the graph of a function where the function value is higher than the values of the function at nearby points.

Front

How do you describe the end behavior of a graph?

Back

The end behavior of a graph describes how the function behaves as x approaches positive or negative infinity.

Front

What does it mean when a function is increasing on an interval?

Back

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

Front

What is the significance of the point (4,-4) in a graph?

Back

The point (4,-4) is identified as an absolute minimum if it is the lowest point on the graph.