What are the basics for the parent graph of tangent

What are the basics for the parent graph of tangent

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial covers the tangent function, its characteristics, and graphing techniques. It explains the concept of asymptotes, the period of the tangent function, and how it differs from sine and cosine functions. The tutorial also discusses the lack of amplitude in the tangent graph, the use of X scale for graphing, and transformations affecting the graph. Additionally, it covers the domain and range of the tangent function, emphasizing its continuous increase and lack of extrema.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the tangent of an angle in terms of the unit circle?

y / x

y * x

x * y

x / y

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

At what angle does the tangent function have an asymptote?

0 degrees

45 degrees

90 degrees

180 degrees

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How often does the tangent function repeat itself?

Every 3π

Every π

Every 2π

Every π/2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the tangent function not have an amplitude?

It never stops increasing or decreasing

It has a minimum value

It has a maximum value

It is a constant function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What effect does multiplying the tangent function by 3 have on its graph?

It shifts the graph down

It shifts the graph up

It stretches the graph

It compresses the graph

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of the tangent function?

All real numbers except multiples of π/2

All real numbers

All real numbers except multiples of π

All real numbers except multiples of 2π

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the tangent function behave between its asymptotes?

It decreases

It oscillates

It remains constant

It increases