Master How to determine the extrema from a graph

The video tutorial explains how to determine extrema on graphs, focusing on maximum and minimum values. It covers the concept of extrema in quadratic graphs, distinguishing between absolute and relative extrema. The tutorial provides examples to illustrate these concepts, emphasizing the importance of understanding global and local extrema.

What is the term used for the highest point on a graph that does not go any higher?

• Local Maximum

• Absolute Maximum

• Relative Minimum

• Global Minimum

How can you identify a relative maximum on a graph?

• By looking at the lowest point in a specific region

• By identifying the point where the graph intersects the x-axis

• By finding the highest point in the entire graph

• By zooming in on a specific region to find the highest point

What is the difference between a global maximum and a local maximum?

• A global maximum is the highest point in a specific region, while a local maximum is the highest point in the entire graph.

• A global maximum is the highest point in the entire graph, while a local maximum is the highest point in a specific region.

• A global maximum is the lowest point in the entire graph, while a local maximum is the lowest point in a specific region.

• A global maximum is the point where the graph intersects the y-axis, while a local maximum is the point where it intersects the x-axis.

In a graph with no absolute extrema, what can still be identified?

• Relative maxima and minima

• Only absolute maxima

• Only absolute minima

• No extrema at all

What is the significance of identifying multiple absolute minima on a graph?

• It means the graph has no relative extrema.

• It indicates the graph has several lowest points.

• It shows the graph has multiple highest points.

• It suggests the graph is linear.