Chapter 6: Q. 107 (page 413)

Open the Amplitude applet. On the screen you will see a slider. Move the point along the slider to see the role aplays in the graph of $f (x) = a \sin x$ .

Short Answer

Expert verified

The a in the graph $f (x) = a \sin x$ denotes the maximum and the minimum value to which the function value lies.

Step by step solution

Step 1. Use the applet

The slider is moved and the result can be seen as

Step 2. Observation

It can be seen that as $a$ increase the maximum and the minimum value also increases.

Also, when a is multiplied to the function $y = \sin x$ , to get the function $y = a \sin x$ the graph is vertically stretched by a factor of $a$ .

And now the range of the function lies between the value $- a$ to $a$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Open the Amplitude applet. On the screen you will see a slider. Move the point along the slider to see the role aplays in the graph of $f (x) = a \sin x$ .

Short Answer

Step by step solution

Step 1. Use the applet

Step 2. Observation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Mechanics Maths

Probability and Statistics

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Open the Amplitude applet. On the screen you will see a slider. Move the point along the slider to see the role aplays in the graph off(x)=asinx.

Short Answer

Step by step solution

Step 1. Use the applet

Step 2. Observation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Mechanics Maths

Probability and Statistics

Applied Mathematics

Geometry

Study anywhere. Anytime. Across all devices.

Open the Amplitude applet. On the screen you will see a slider. Move the point along the slider to see the role aplays in the graph of $f (x) = a \sin x$ .