Graphing Functions: Maxima and Minima

The video tutorial explains the concepts of absolute maximum and minimum in graphs. It highlights that the absolute maximum occurs at the point (2, 8) with a value of y = 8, while there is no absolute minimum as the graph descends to negative infinity. The tutorial also covers relative maximum and minimum points, identifying them as (negative 6, 5.5) and (negative 2, 0) respectively.

What is the term used to describe the highest point on a graph?

• Absolute maximum

• Relative maximum

• Relative minimum

• Absolute minimum

At which point does the absolute maximum occur in the given graph?

• (-2, 0)

• (0, 0)

• (5, 5)

• (2, 8)

When determining the height of a graph, which coordinate is considered?

• X-coordinate

• Y-coordinate

• Z-coordinate

• Both X and Y coordinates

What is the value of the absolute maximum in the graph discussed?

• X = 8

• Y = 8

• X = 2

• Y = 0

Why is there no absolute minimum in the graph?

• The graph goes up to infinity

• The graph has multiple minimum points

• The graph has a flat line

• The graph descends to negative infinity

What should you state if a graph has no absolute minimum?

• There is an absolute minimum

• The absolute minimum is zero

• There is no absolute minimum

• The absolute minimum is undefined

What is the term for the second highest point on a graph?

• Absolute maximum

• Relative minimum

• Relative maximum

• Absolute minimum

Identify the relative maximum point in the graph.

• (0, 0)

• (-2, 0)

• (2, 8)

• (-6, 5.5)

What is the relative minimum point in the graph?

• (-2, 0)

• (0, 0)

• (2, 8)

• (-6, 5.5)

Which point represents the lowest y-value in the graph?

• (0, 0)

• (-6, 5.5)

• (2, 8)

• (-2, 0)