Logarithmic Functions and TI-84 Usage

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 graph a log base one-half function, explains the domain, range, and vertical asymptote, and provides step-by-step instructions for entering the function into the calculator. The tutorial also shows how to find key points using the trace function and table of values, and concludes with plotting these points to analyze the graph's behavior.

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

• To convert the function into a polynomial

• To simplify the function for manual calculation

• To use the calculator's built-in log functions

• To change the base of the function to 10

What is the domain of the function y = log base 1/2 of x?

• x < 0

• x > 0

• x ≤ 0

• x ≥ 0

What is the range of the function y = log base 1/2 of x?

• All real numbers

• x ≥ 0

• x > 0

• x < 0

What is the equation of the vertical asymptote for the function y = log base 1/2 of x?

• x = 1

• x = 0

• y = 1

• y = 0

Which key on the TI-84 calculator is used to enter the function for graphing?

• Graph

• Y=

• Zoom

• Trace

What is the purpose of pressing 'Zoom' and then '6' on the TI-84 calculator?

• To find the maximum value of the function

• To reset the calculator

• To adjust the graph to a standard window

• To calculate the derivative

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

• By using the trace function

• By solving the equation manually

• By using the derivative function

• By adjusting the window size

What is the horizontal intercept of the function y = log base 1/2 of x?

• (2, -1)

• (1, 0)

• (0, 1)

• (4, -2)

Which point is NOT a key point on the graph of y = log base 1/2 of x?

• (2, -1)

• (3, 2)

• (1, 0)

• (0.5, 1)

What happens to the function values as x approaches zero from the right?

• They approach negative infinity

• They approach positive infinity

• They remain constant

• They oscillate