Boundness of a function from a graph

The video tutorial explains the concept of boundedness in graphs, focusing on how graphs can be restricted in terms of their height. It discusses the idea of absolute maximum, where a graph is restricted on how high it can go, and introduces the concept of unboundedness, where a graph can extend indefinitely in one direction. The tutorial further explores examples of graphs that are bounded above, bounded below, or both, using quadratic and cubic graphs as illustrations. The key takeaway is understanding the restrictions on a graph's height and how these define its boundedness.

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

• The graph has no limits on its height.

• The graph is restricted in both directions.

• The graph has a limit on how high it can go.

• The graph has a limit on how low it can go.

Which type of graph is typically bounded below?

• Exponential graph

• Linear graph

• Quadratic graph

• Cubic graph

What characteristic does a quadratic graph have that makes it bounded below?

• It has an asymptote.

• It has a vertex.

• It has a horizontal line.

• It has a constant slope.

What is the nature of a cubic graph in terms of boundedness?

• It is always bounded below.

• It is always bounded above.

• It is unbounded.

• It is bounded in both directions.

How can a graph be described if it has restrictions on both its maximum and minimum heights?

• Bounded above

• Bounded below

• Unbounded

• Bounded