Tangent Function Concepts Review

The video tutorial covers the identification and manipulation of parts of a tangent equation, focusing on rewriting equations, understanding period and phase shift, and the effects of transformations on the graph. It explains the concept of amplitude, graph stretching, and compression, and how these affect the asymptotes of the tangent function.

What is the main focus of the initial review in the video?

• Understanding sine functions

• Learning about logarithms

• Reviewing tangent and cotangent concepts

• Discussing polynomial equations

What is the first step in rewriting the tangent function?

• Adding a constant

• Multiplying by pi

• Subtracting a constant

• Factoring out a 2

How is the period of a tangent function determined?

• By adding pi

• By subtracting the phase shift

• By dividing 2 pi by b

• By multiplying by the amplitude

What is the phase shift in the given tangent function?

• Pi halves to the right

• Pi over 4 to the left

• Pi halves to the left

• Pi over 4 to the right

Which functions do not have an amplitude?

• Polynomial and rational

• Sine and cosine

• Exponential and logarithmic

• Tangent and cotangent

What effect does a fraction larger than one have on the graph?

• It compresses the graph vertically

• It reflects the graph

• It stretches the graph vertically

• It shifts the graph horizontally

How does the number 2 affect the period of the tangent function?

• It triples the period

• It doubles the period

• It halves the period

• It does not affect the period

What is the range of the tangent function?

• Negative infinity to infinity

• Negative pi to pi

• 0 to pi

• 0 to 1

Where do the asymptotes of the tangent function occur?

• At pi halves plus pi n

• At pi

• At 2 pi

• At zero

What happens to the asymptotes when the tangent function is compressed?

• They move up

• They move down

• They remain unchanged

• They shift left or right