Logarithmic Functions and Desmos

This video tutorial demonstrates how to use Desmos.com to graph logarithmic functions with different bases, including common log, natural log, and log base 2. It provides step-by-step instructions for entering equations, adjusting the graph window, and creating tables of values. The tutorial also covers how to identify domain restrictions and change graph colors for better visualization. By the end, viewers will understand how to effectively use Desmos for graphing various log functions.

What is the base of the common logarithm?

• Base 10

• Base 2

• Base 5

• Base e

Which website is used to graph logarithmic functions in the video?

• GeoGebra

• Wolfram Alpha

• Desmos

• Khan Academy

What is the first step to graph a function on Desmos?

• Adjust the window

• Enter the equation

• Select 'Projector Mode'

• Click 'Start Graphing'

What is the domain of the first logarithmic function graphed?

• x < 0

• x > 0

• x > 2

• x < 2

How can you make the graph lines thicker in Desmos?

• Use 'Zoom In'

• Select 'Projector Mode'

• Change the color

• Increase the font size

What is the base of the natural logarithm?

• Base 5

• Base e

• Base 10

• Base 2

How can you change the color of the points on the graph in Desmos?

• Double-click the graph

• Use the wrench tool

• Click and hold the color button

• Right-click the graph

What is the domain of the second logarithmic function graphed?

• x > 0

• x > 1

• x < 0

• x < 1

How do you enter a logarithm with base 2 in Desmos?

• Type 'log2'

• Use 'shift minus' for base

• Type 'ln'

• Use 'ctrl minus' for base

What is the domain of the third logarithmic function graphed?

• x > -1

• x < 0

• x > 0

• x < -1