Bounded functions

What does it mean for a function to be bounded above?

• The graph extends infinitely in both directions.

• The graph has no maximum or minimum values.

• The graph does not go above a certain value.

• The graph does not go below a certain value.

In the context of bounded functions, what is an absolute maximum?

• A point where the graph intersects the x-axis.

• A point where the graph changes direction.

• The highest point on the graph.

• The lowest point on the graph.

Which of the following describes a function that is both bounded above and below?

• The graph is a straight line.

• The graph has no maximum value.

• The graph extends infinitely in one direction.

• The graph has both a maximum and a minimum value.

What is the characteristic of a function that is not bounded?

• The graph extends infinitely in both directions.

• The graph has a maximum value.

• The graph is a closed shape.

• The graph has a minimum value.

In the example of the function y = 3 / (x - 1), what is observed about its graph?

• It forms a semicircle.

• It is bounded above.

• It is bounded below.

• It is not bounded.