Graphing Logarithmic Functions on TI-84

This video tutorial demonstrates how to graph a logarithmic function using the TI-84 calculator. It covers the use of the change of base formula to adapt the function for the calculator, explains the domain, range, and vertical asymptote of the function, and provides step-by-step instructions for graphing. The tutorial also shows how to find specific points on the graph using the calculator's features and concludes with sketching the graph based on these points.

What is the purpose of using the change of base formula when graphing a logarithmic function on the TI-84?

• To convert the function into a polynomial

• To use a base that the calculator can handle

• To simplify the function for easier graphing

• To eliminate the logarithm from the function

What is the domain of the function y = -log base 3 of x?

• x > 0

• x < 0

• x ≥ 0

• x ≤ 0

What is the range of the function y = -log base 3 of x?

• Numbers between 0 and 1

• All real numbers

• All negative numbers

• All positive numbers

Which line represents the vertical asymptote for the function y = -log base 3 of x?

• y = 0

• y = 1

• x = 1

• x = 0

What is the first step to input the function into the TI-84 calculator?

• Adjust the window settings

• Use the 'Trace' feature

• Enter the function in the 'Y=' menu

• Press the 'Graph' button

Which zoom option provides a standard viewing window on the TI-84?

• Zoom 1

• Zoom 4

• Zoom 6

• Zoom 9

How can you find specific points on the graph using the TI-84?

• By adjusting the window settings

• By changing the function

• By using the 'Trace' and 'Table' features

• By using the 'Graph' button

What is the approximate y-value when x = 6 for the function y = -log base 3 of x?

• -2.00

• -0.63

• -1.00

• -1.63

What is the x-intercept of the function y = -log base 3 of x?

• (0, 1)

• (1, 0)

• (0, -1)

• (1, 1)

How does the graph behave as x approaches zero?

• It approaches a horizontal asymptote

• It oscillates

• It remains constant

• It approaches a vertical asymptote