How to find the asymptotes of the tangent function

The video tutorial reviews key concepts related to tangent functions, including identifying parts of equations, understanding period and phase shifts, and analyzing asymptotes. It explains how to rewrite equations, the impact of coefficients on graph transformations, and the nature of asymptotes in tangent functions. The tutorial emphasizes the importance of understanding these concepts for solving mathematical problems involving trigonometric functions.

What is the first step in analyzing a tangent function?

• Calculating the phase shift

• Rewriting the function in the form b * X - C

• Identifying the amplitude

• Finding the maximum value

How is the period of a tangent function determined?

• By finding the maximum and minimum values

• By calculating the amplitude

• Using the formula 2π/B

• Using the phase shift

Which of the following functions do not have an amplitude?

• Cosine and Cotangent

• Sine and Cosine

• Tangent and Cotangent

• Sine and Tangent

What effect does a fraction greater than one have on a tangent graph?

• It changes the period

• It shifts the graph horizontally

• It stretches the graph vertically

• It compresses the graph vertically

How do horizontal changes affect the asymptotes of a tangent function?

• They change the location of the asymptotes

• They do not affect the asymptotes

• They move the asymptotes up or down

• They eliminate the asymptotes

What is the method to find new asymptotes after transformations?

• Add the original asymptote to the function

• Set the function's inside equal to the original asymptote

• Subtract the original asymptote from the function

• Multiply the function by the original asymptote

Why can't you subtract π/4 from both terms when solving for new asymptotes?

• Because subtraction is not allowed

• Because it changes the period

• Because they are like terms

• Because they are not like terms