What are bounded functions and how do you determine the boundness

The video tutorial explains the concept of bounded graphs, which have boundaries that limit their values. It discusses how quadratic graphs have extrema, which are absolute maximums or minimums, and how these determine if a graph is bounded above or below. The tutorial also covers graphs that are not bounded, meaning they extend indefinitely. Finally, it provides criteria for determining if a graph is bounded or not.

What does it mean for a graph to be bounded?

• It has no extrema.

• It is always a straight line.

• It has a fixed number of points.

• It does not go below or above certain values.

In a positive quadratic graph, what is the significance of the vertex?

• It is the point where the graph intersects the x-axis.

• It is the highest point on the graph.

• It is the midpoint of the graph.

• It is the point where the graph changes direction.

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

• The graph has no maximum value.

• The graph is a straight line.

• The graph cannot go above a certain value.

• The graph cannot go below a certain value.

How can you identify if a graph is not bounded?

• It has a single maximum point.

• It has a fixed range of values.

• It is a closed shape.

• It extends indefinitely in one or both directions.

What is the term used for a graph that is contained both above and below?

• Bounded below

• Bounded above

• Bounded

• Unbounded