Desmos Graphing Techniques and Concepts

This video tutorial demonstrates how to use the Desmos grapher to find the local extrema of a cubic function. It guides viewers through launching Desmos, setting up the graph, entering the function, adjusting the view, and identifying key points like intercepts and extrema. The tutorial concludes with estimating the local minimum and maximum values of the function.

What is the primary purpose of using the Desmos grapher in this lesson?

• To solve linear equations

• To create animations

• To determine the local extrema of a cubic function

• To draw random shapes

What is the first step to make the graph easier to view in Desmos?

• Add grid lines

• Change the background color

• Switch to projector mode

• Increase the font size

How do you enter an exponent in Desmos?

• Press X and then Alt + 6

• Press X and then Shift + 6

• Press X and then Ctrl + 6

• Press X and then Shift + 8

What is one way to adjust the view of the graph in Desmos?

• Change the color of the graph

• Use the zoom in and zoom out buttons

• Add more functions

• Rotate the graph

What feature of Desmos helps in identifying key points on the graph?

• Color coding

• Vibrations

• Graphing in gray

• Sound alerts

How many x-intercepts does the cubic function have?

• Four

• One

• Two

• Three

What is the approximate x-coordinate of the local minimum?

• 8.00

• 5.00

• 6.62

• 0.704

What is the approximate value of the local maximum?

• 84.75

• 80.00

• 9.27

• 14.00

What is the y-coordinate of the vertical intercept?

• 14

• 0

• 11

• 80

What is the approximate x-coordinate of the local maximum?

• 5.00

• 6.62

• 0.704

• 8.00