Understanding Relative Extrema with a Graphing Calculator

This video tutorial explains how to determine the relative extrema of a function using a graphing calculator. It covers entering the function, setting the graphing window, and using the calculator's features to find the relative minimum and maximum points. The tutorial provides step-by-step instructions for identifying these points and concludes with a summary of the findings.

What is the first step in determining the relative extrema using a graphing calculator?

• Finding the minimum point

• Adjusting the window settings

• Entering the function into the calculator

• Pressing ZOOM SIX

What should you do if the graph is not clearly visible in the standard window?

• Press SECOND TRACE

• Select a different function

• Adjust the window settings

• Re-enter the function

Which option should you select to find the minimum point on the graph?

• Option 1

• Option 2

• Option 4

• Option 3

What is the purpose of setting the left and right bounds when finding the minimum?

• To help the calculator locate the minimum

• To zoom in on the graph

• To adjust the window size

• To enter a new function

What are the coordinates of the relative minimum found in the video?

• (-2, 4)

• (2, -4)

• (4, -2)

• (-4, 2)

Which option should you select to find the maximum point on the graph?

• Option 2

• Option 4

• Option 3

• Option 1

What are the coordinates of the relative maximum found in the video?

• (2, -4)

• (-2, 4)

• (4, -2)

• (-4, 2)

How is the relative maximum typically expressed?

• As the x-value

• As a function

• As the y-value

• As an ordered pair

What is the correct way to express the relative minimum?

• Y = -4 at X = 2

• Y = 2 at X = -4

• Y = -2 at X = 4

• Y = 4 at X = -2

What is the main takeaway from the video regarding relative extrema?

• The x-value is the extrema

• The y-value is the location

• The y-value is the extrema

• The x-value is irrelevant