Graphing Log Functions on TI-84

This video tutorial demonstrates how to graph a logarithmic function using a TI-84 calculator. It covers the change of base formula, finding the domain and vertical asymptote, and graphing the function. The tutorial also explains how to use the table of values to plot points and verify the graph's domain and range. The video concludes with a practical example of plotting the function on a coordinate plane.

What is the purpose of using the change of base formula in this video?

• To convert the log function to a different base for easier calculation.

• To find the domain of the function.

• To determine the range of the function.

• To identify the vertical asymptote.

How do you find the domain of the log function discussed in the video?

• By setting the log function equal to zero.

• By setting the argument of the log function less than zero.

• By setting the argument of the log function greater than zero.

• By setting the log function greater than one.

What is the equation of the vertical asymptote for the log function in the video?

• x = 0

• x = 2

• x = 3

• x = -3

Which button sequence is used to start graphing the function on the TI-84 calculator?

• Press '2nd' then 'Graph'

• Press 'Window' then 'Graph'

• Press 'Y=' then 'Zoom 6'

• Press 'Graph' then 'Zoom 6'

Why is it necessary to adjust the x-axis minimum value when graphing the function?

• To make the graph appear larger.

• To change the scale of the graph.

• To better visualize the domain starting from x > 3.

• To include negative values in the graph.

What does the graph verify about the domain of the function?

• The domain is all real numbers.

• The domain is x < 3.

• The domain is x = 3.

• The domain is x > 3.

What is the range of the log function as verified by the graph?

• x > 0

• x < 0

• x = 0

• All real numbers

What is the starting value for the table of values used in the video?

• 0

• 2

• 3

• 5

Which of the following points is used to plot the graph manually?

• (3.5, 1)

• (2, 0)

• (4, 3)

• (5, 2)

What is the purpose of using a table of values in graphing?

• To find the vertical asymptote.

• To determine the range.

• To plot convenient points for sketching the graph.

• To calculate the slope of the function.