a). Answer The domain is − ∞ , 1 . Explanation Given: y = − 2 + 1 − x Calculation: The given function gives a real y value for every real x value less than or equal to 1 , because the value under square root must be positive. Thus the domain is − ∞ , 1 . b). To determine To find: the range of the given function. Answer The range is − 2 , ∞ . Explanation Given: y = − 2 + 1 − x Calculation: 1 − x ≥ 0 − 2 + 1 − x ≥ − 2 y ≥ − 2 Therefore the value y takes on every real number greater than or equal to − 2 . Hence the range is − 2 , ∞ . c). To determine To draw: the graph of the given function. Answer Explanation Given: y = − 2 + 1 − x Calculation: The graph is,

Advanced Placement Calculus Graphical Numerical Algebraic Sixth Edition High School Binding Copyright 2020

6th Edition

ISBN: 9781418300203

Author: Prentice Hall

Publisher: Prentice Hall

See similar textbooks

Question

Chapter 0, Problem 28RE

a).

To determine

To find: the domain of the given function.

a).

Expert Solution

Answer to Problem 28RE

The domain is −∞ , 1 .

Explanation of Solution

Given:

y=−2+1−x

Calculation:

The given function gives a real y value for every real x value less than or equal to 1 , because the value under square root must be positive.

Thus the domain is −∞ , 1 .

b).

To determine

To find: the range of the given function.

b).

Expert Solution

Answer to Problem 28RE

The range is −2 , ∞ .

Explanation of Solution

Given:

y=−2+1−x

Calculation:

1−x≥0−2+1−x≥−2y≥−2

Therefore the value y takes on every real number greater than or equal to −2 .

Hence the range is −2 , ∞ .

c).

To determine

To draw: the graph of the given function.

c).

Expert Solution

Answer to Problem 28RE

Explanation of Solution

Given:

y=−2+1−x

Calculation:

The graph is,

Chapter 0, Problem 27RE

Chapter 0, Problem 29RE

Chapter 0 Solutions

Ch. 0.1 - Prob. 1QR Ch. 0.1 - Prob. 2QR Ch. 0.1 - Prob. 3QR Ch. 0.1 - Prob. 4QR Ch. 0.1 - Prob. 5QR Ch. 0.1 - Prob. 6QR Ch. 0.1 - Prob. 7QR Ch. 0.1 - Prob. 8QR Ch. 0.1 - Prob. 9QR Ch. 0.1 - Prob. 10QR

Ch. 0.1 - Prob. 1E Ch. 0.1 - Prob. 2E Ch. 0.1 - Prob. 3E Ch. 0.1 - Prob. 4E Ch. 0.1 - Prob. 5E Ch. 0.1 - Prob. 6E Ch. 0.1 - Prob. 7E Ch. 0.1 - Prob. 8E Ch. 0.1 - Prob. 9E Ch. 0.1 - Prob. 10E Ch. 0.1 - Prob. 11E Ch. 0.1 - Prob. 12E Ch. 0.1 - Prob. 13E Ch. 0.1 - Prob. 14E Ch. 0.1 - Prob. 15E Ch. 0.1 - Prob. 16E Ch. 0.1 - Prob. 17E Ch. 0.1 - Prob. 18E Ch. 0.1 - Prob. 19E Ch. 0.1 - Prob. 20E Ch. 0.1 - Prob. 21E Ch. 0.1 - Prob. 22E Ch. 0.1 - Prob. 23E Ch. 0.1 - Prob. 24E Ch. 0.1 - Prob. 25E Ch. 0.1 - Prob. 26E Ch. 0.1 - Prob. 27E Ch. 0.1 - Prob. 28E Ch. 0.1 - Prob. 29E Ch. 0.1 - Prob. 30E Ch. 0.1 - Prob. 31E Ch. 0.1 - Prob. 32E Ch. 0.1 - Prob. 33E Ch. 0.1 - Prob. 34E Ch. 0.1 - Prob. 35E Ch. 0.1 - Prob. 36E Ch. 0.1 - Prob. 37E Ch. 0.1 - Prob. 38E Ch. 0.1 - Prob. 39E Ch. 0.1 - Prob. 40E Ch. 0.1 - Prob. 41E Ch. 0.1 - Prob. 42E Ch. 0.1 - Prob. 43E Ch. 0.1 - Prob. 44E Ch. 0.1 - Prob. 45E Ch. 0.1 - Prob. 46E Ch. 0.1 - Prob. 47E Ch. 0.1 - Prob. 48E Ch. 0.1 - Prob. 49E Ch. 0.1 - Prob. 50E Ch. 0.1 - Prob. 51E Ch. 0.1 - Prob. 52E Ch. 0.1 - Prob. 53E Ch. 0.1 - Prob. 54E Ch. 0.1 - Prob. 55E Ch. 0.1 - Prob. 56E Ch. 0.1 - Prob. 57E Ch. 0.1 - Prob. 58E Ch. 0.2 - Prob. 1QR Ch. 0.2 - Prob. 2QR Ch. 0.2 - Prob. 3QR Ch. 0.2 - Prob. 4QR Ch. 0.2 - Prob. 5QR Ch. 0.2 - Prob. 6QR Ch. 0.2 - Prob. 7QR Ch. 0.2 - Prob. 8QR Ch. 0.2 - Prob. 9QR Ch. 0.2 - Prob. 10QR Ch. 0.2 - Prob. 11QR Ch. 0.2 - Prob. 12QR Ch. 0.2 - Prob. 1E Ch. 0.2 - Prob. 2E Ch. 0.2 - Prob. 3E Ch. 0.2 - Prob. 4E Ch. 0.2 - Prob. 5E Ch. 0.2 - Prob. 6E Ch. 0.2 - Prob. 7E Ch. 0.2 - Prob. 8E Ch. 0.2 - Prob. 9E Ch. 0.2 - Prob. 10E Ch. 0.2 - Prob. 11E Ch. 0.2 - Prob. 12E Ch. 0.2 - Prob. 13E Ch. 0.2 - Prob. 14E Ch. 0.2 - Prob. 15E Ch. 0.2 - Prob. 16E Ch. 0.2 - Prob. 17E Ch. 0.2 - Prob. 18E Ch. 0.2 - Prob. 19E Ch. 0.2 - Prob. 20E Ch. 0.2 - Prob. 21E Ch. 0.2 - Prob. 22E Ch. 0.2 - Prob. 23E Ch. 0.2 - Prob. 24E Ch. 0.2 - Prob. 25E Ch. 0.2 - Prob. 26E Ch. 0.2 - Prob. 27E Ch. 0.2 - Prob. 28E Ch. 0.2 - Prob. 29E Ch. 0.2 - Prob. 30E Ch. 0.2 - Prob. 31E Ch. 0.2 - Prob. 32E Ch. 0.2 - Prob. 33E Ch. 0.2 - Prob. 34E Ch. 0.2 - Prob. 35E Ch. 0.2 - Prob. 36E Ch. 0.2 - Prob. 37E Ch. 0.2 - Prob. 38E Ch. 0.2 - Prob. 39E Ch. 0.2 - Prob. 40E Ch. 0.2 - Prob. 41E Ch. 0.2 - Prob. 42E Ch. 0.2 - Prob. 43E Ch. 0.2 - Prob. 44E Ch. 0.2 - Prob. 45E Ch. 0.2 - Prob. 46E Ch. 0.2 - Prob. 47E Ch. 0.2 - Prob. 48E Ch. 0.2 - Prob. 49E Ch. 0.2 - Prob. 50E Ch. 0.2 - Prob. 51E Ch. 0.2 - Prob. 52E Ch. 0.2 - Prob. 53E Ch. 0.2 - Prob. 54E Ch. 0.2 - Prob. 55E Ch. 0.2 - Prob. 56E Ch. 0.2 - Prob. 57E Ch. 0.2 - Prob. 58E Ch. 0.2 - Prob. 59E Ch. 0.2 - Prob. 60E Ch. 0.2 - Prob. 61E Ch. 0.2 - Prob. 62E Ch. 0.2 - Prob. 63E Ch. 0.2 - Prob. 64E Ch. 0.2 - Prob. 65E Ch. 0.2 - Prob. 66E Ch. 0.2 - Prob. 67E Ch. 0.2 - Prob. 68E Ch. 0.2 - Prob. 69E Ch. 0.2 - Prob. 70E Ch. 0.2 - Prob. 71E Ch. 0.2 - Prob. 72E Ch. 0.3 - Prob. 1QR Ch. 0.3 - Prob. 2QR Ch. 0.3 - Prob. 3QR Ch. 0.3 - Prob. 4QR Ch. 0.3 - Prob. 5QR Ch. 0.3 - Prob. 6QR Ch. 0.3 - Prob. 7QR Ch. 0.3 - Prob. 8QR Ch. 0.3 - Prob. 9QR Ch. 0.3 - Prob. 10QR Ch. 0.3 - Prob. 1E Ch. 0.3 - Prob. 2E Ch. 0.3 - Prob. 3E Ch. 0.3 - Prob. 4E Ch. 0.3 - Prob. 5E Ch. 0.3 - Prob. 6E Ch. 0.3 - Prob. 7E Ch. 0.3 - Prob. 8E Ch. 0.3 - Prob. 9E Ch. 0.3 - Prob. 10E Ch. 0.3 - Prob. 11E Ch. 0.3 - Prob. 12E Ch. 0.3 - Prob. 13E Ch. 0.3 - Prob. 14E Ch. 0.3 - Prob. 15E Ch. 0.3 - Prob. 16E Ch. 0.3 - Prob. 17E Ch. 0.3 - Prob. 18E Ch. 0.3 - Prob. 19E Ch. 0.3 - Prob. 20E Ch. 0.3 - Prob. 21E Ch. 0.3 - Prob. 22E Ch. 0.3 - Prob. 23E Ch. 0.3 - Prob. 24E Ch. 0.3 - Prob. 25E Ch. 0.3 - Prob. 26E Ch. 0.3 - Prob. 27E Ch. 0.3 - Prob. 28E Ch. 0.3 - Prob. 29E Ch. 0.3 - Prob. 30E Ch. 0.3 - Prob. 31E Ch. 0.3 - Prob. 32E Ch. 0.3 - Prob. 33E Ch. 0.3 - Prob. 34E Ch. 0.3 - Prob. 35E Ch. 0.3 - Prob. 36E Ch. 0.3 - Prob. 37E Ch. 0.3 - Prob. 38E Ch. 0.3 - Prob. 39E Ch. 0.3 - Prob. 40E Ch. 0.3 - Prob. 41E Ch. 0.3 - Prob. 42E Ch. 0.3 - Prob. 43E Ch. 0.3 - Prob. 44E Ch. 0.3 - Prob. 45E Ch. 0.3 - Prob. 46E Ch. 0.3 - Prob. 47E Ch. 0.3 - Prob. 48E Ch. 0.3 - Prob. 49E Ch. 0.3 - Prob. 1QQ Ch. 0.3 - Prob. 2QQ Ch. 0.3 - Prob. 3QQ Ch. 0.3 - Prob. 4QQ Ch. 0.4 - Prob. 1QR Ch. 0.4 - Prob. 2QR Ch. 0.4 - Prob. 3QR Ch. 0.4 - Prob. 4QR Ch. 0.4 - Prob. 5QR Ch. 0.4 - Prob. 6QR Ch. 0.4 - Prob. 7QR Ch. 0.4 - Prob. 8QR Ch. 0.4 - Prob. 9QR Ch. 0.4 - Prob. 10QR Ch. 0.4 - Prob. 1E Ch. 0.4 - Prob. 2E Ch. 0.4 - Prob. 3E Ch. 0.4 - Prob. 4E Ch. 0.4 - Prob. 5E Ch. 0.4 - Prob. 6E Ch. 0.4 - Prob. 7E Ch. 0.4 - Prob. 8E Ch. 0.4 - Prob. 9E Ch. 0.4 - Prob. 10E Ch. 0.4 - Prob. 11E Ch. 0.4 - Prob. 12E Ch. 0.4 - Prob. 13E Ch. 0.4 - Prob. 14E Ch. 0.4 - Prob. 15E Ch. 0.4 - Prob. 16E Ch. 0.4 - Prob. 17E Ch. 0.4 - Prob. 18E Ch. 0.4 - Prob. 19E Ch. 0.4 - Prob. 20E Ch. 0.4 - Prob. 21E Ch. 0.4 - Prob. 22E Ch. 0.4 - Prob. 23E Ch. 0.4 - Prob. 24E Ch. 0.4 - Prob. 25E Ch. 0.4 - Prob. 26E Ch. 0.4 - Prob. 27E Ch. 0.4 - Prob. 28E Ch. 0.4 - Prob. 29E Ch. 0.4 - Prob. 30E Ch. 0.4 - Prob. 31E Ch. 0.4 - Prob. 32E Ch. 0.4 - Prob. 33E Ch. 0.4 - Prob. 34E Ch. 0.4 - Prob. 35E Ch. 0.4 - Prob. 36E Ch. 0.4 - Prob. 37E Ch. 0.4 - Prob. 38E Ch. 0.4 - Prob. 39E Ch. 0.4 - Prob. 40E Ch. 0.4 - Prob. 41E Ch. 0.4 - Prob. 42E Ch. 0.4 - Prob. 43E Ch. 0.4 - Prob. 44E Ch. 0.4 - Prob. 45E Ch. 0.4 - Prob. 46E Ch. 0.4 - Prob. 47E Ch. 0.4 - Prob. 48E Ch. 0.5 - Prob. 1QR Ch. 0.5 - Prob. 2QR Ch. 0.5 - Prob. 3QR Ch. 0.5 - Prob. 4QR Ch. 0.5 - Prob. 5QR Ch. 0.5 - Prob. 6QR Ch. 0.5 - Prob. 7QR Ch. 0.5 - Prob. 8QR Ch. 0.5 - Prob. 9QR Ch. 0.5 - Prob. 10QR Ch. 0.5 - Prob. 1E Ch. 0.5 - Prob. 2E Ch. 0.5 - Prob. 3E Ch. 0.5 - Prob. 4E Ch. 0.5 - Prob. 5E Ch. 0.5 - Prob. 6E Ch. 0.5 - Prob. 7E Ch. 0.5 - Prob. 8E Ch. 0.5 - Prob. 9E Ch. 0.5 - Prob. 10E Ch. 0.5 - Prob. 11E Ch. 0.5 - Prob. 12E Ch. 0.5 - Prob. 13E Ch. 0.5 - Prob. 14E Ch. 0.5 - Prob. 15E Ch. 0.5 - Prob. 16E Ch. 0.5 - Prob. 17E Ch. 0.5 - Prob. 18E Ch. 0.5 - Prob. 19E Ch. 0.5 - Prob. 20E Ch. 0.5 - Prob. 21E Ch. 0.5 - Prob. 22E Ch. 0.5 - Prob. 23E Ch. 0.5 - Prob. 24E Ch. 0.5 - Prob. 25E Ch. 0.5 - Prob. 26E Ch. 0.5 - Prob. 27E Ch. 0.5 - Prob. 28E Ch. 0.5 - Prob. 29E Ch. 0.5 - Prob. 30E Ch. 0.5 - Prob. 31E Ch. 0.5 - Prob. 32E Ch. 0.5 - Prob. 33E Ch. 0.5 - Prob. 34E Ch. 0.5 - Prob. 35E Ch. 0.5 - Prob. 36E Ch. 0.5 - Prob. 37E Ch. 0.5 - Prob. 38E Ch. 0.5 - Prob. 39E Ch. 0.5 - Prob. 40E Ch. 0.5 - Prob. 41E Ch. 0.5 - Prob. 42E Ch. 0.5 - Prob. 43E Ch. 0.5 - Prob. 44E Ch. 0.5 - Prob. 45E Ch. 0.5 - Prob. 46E Ch. 0.5 - Prob. 47E Ch. 0.5 - Prob. 48E Ch. 0.5 - Prob. 49E Ch. 0.5 - Prob. 50E Ch. 0.5 - Prob. 51E Ch. 0.5 - Prob. 52E Ch. 0.5 - Prob. 53E Ch. 0.5 - Prob. 54E Ch. 0.5 - Prob. 55E Ch. 0.5 - Prob. 56E Ch. 0.5 - Prob. 57E Ch. 0.5 - Prob. 58E Ch. 0.5 - Prob. 59E Ch. 0.5 - Prob. 60E Ch. 0.5 - Prob. 61E Ch. 0.5 - Prob. 62E Ch. 0.6 - Prob. 1QR Ch. 0.6 - Prob. 2QR Ch. 0.6 - Prob. 3QR Ch. 0.6 - Prob. 4QR Ch. 0.6 - Prob. 5QR Ch. 0.6 - Prob. 6QR Ch. 0.6 - Prob. 7QR Ch. 0.6 - Prob. 8QR Ch. 0.6 - Prob. 9QR Ch. 0.6 - Prob. 10QR Ch. 0.6 - Prob. 1E Ch. 0.6 - Prob. 2E Ch. 0.6 - Prob. 3E Ch. 0.6 - Prob. 4E Ch. 0.6 - Prob. 5E Ch. 0.6 - Prob. 6E Ch. 0.6 - Prob. 7E Ch. 0.6 - Prob. 8E Ch. 0.6 - Prob. 9E Ch. 0.6 - Prob. 10E Ch. 0.6 - Prob. 11E Ch. 0.6 - Prob. 12E Ch. 0.6 - Prob. 13E Ch. 0.6 - Prob. 14E Ch. 0.6 - Prob. 15E Ch. 0.6 - Prob. 16E Ch. 0.6 - Prob. 17E Ch. 0.6 - Prob. 18E Ch. 0.6 - Prob. 19E Ch. 0.6 - Prob. 20E Ch. 0.6 - Prob. 21E Ch. 0.6 - Prob. 22E Ch. 0.6 - Prob. 23E Ch. 0.6 - Prob. 24E Ch. 0.6 - Prob. 25E Ch. 0.6 - Prob. 26E Ch. 0.6 - Prob. 27E Ch. 0.6 - Prob. 28E Ch. 0.6 - Prob. 29E Ch. 0.6 - Prob. 30E Ch. 0.6 - Prob. 31E Ch. 0.6 - Prob. 32E Ch. 0.6 - Prob. 33E Ch. 0.6 - Prob. 34E Ch. 0.6 - Prob. 35E Ch. 0.6 - Prob. 36E Ch. 0.6 - Prob. 37E Ch. 0.6 - Prob. 38E Ch. 0.6 - Prob. 39E Ch. 0.6 - Prob. 40E Ch. 0.6 - Prob. 41E Ch. 0.6 - Prob. 42E Ch. 0.6 - Prob. 43E Ch. 0.6 - Prob. 44E Ch. 0.6 - Prob. 45E Ch. 0.6 - Prob. 46E Ch. 0.6 - Prob. 47E Ch. 0.6 - Prob. 48E Ch. 0.6 - Prob. 49E Ch. 0.6 - Prob. 50E Ch. 0.6 - Prob. 51E Ch. 0.6 - Prob. 52E Ch. 0.6 - Prob. 53E Ch. 0.6 - Prob. 54E Ch. 0.6 - Prob. 55E Ch. 0.6 - Prob. 56E Ch. 0.6 - Prob. 57E Ch. 0.6 - Prob. 58E Ch. 0.6 - Prob. 59E Ch. 0.6 - Prob. 60E Ch. 0.6 - Prob. 61E Ch. 0.6 - Prob. 62E Ch. 0.6 - Prob. 1QQ Ch. 0.6 - Prob. 2QQ Ch. 0.6 - Prob. 3QQ Ch. 0.6 - Prob. 4QQ Ch. 0 - Prob. 1RWDT Ch. 0 - Prob. 2RWDT Ch. 0 - Prob. 3RWDT Ch. 0 - Prob. 4RWDT Ch. 0 - Prob. 5RWDT Ch. 0 - Prob. 6RWDT Ch. 0 - Prob. 7RWDT Ch. 0 - Prob. 8RWDT Ch. 0 - Prob. 9RWDT Ch. 0 - Prob. 10RWDT Ch. 0 - Prob. 1RE Ch. 0 - Prob. 2RE Ch. 0 - Prob. 3RE Ch. 0 - Prob. 4RE Ch. 0 - Prob. 5RE Ch. 0 - Prob. 6RE Ch. 0 - Prob. 7RE Ch. 0 - Prob. 8RE Ch. 0 - Prob. 9RE Ch. 0 - Prob. 10RE Ch. 0 - Prob. 11RE Ch. 0 - Prob. 12RE Ch. 0 - Prob. 13RE Ch. 0 - Prob. 14RE Ch. 0 - Prob. 15RE Ch. 0 - Prob. 16RE Ch. 0 - Prob. 17RE Ch. 0 - Prob. 18RE Ch. 0 - Prob. 19RE Ch. 0 - Prob. 20RE Ch. 0 - Prob. 21RE Ch. 0 - Prob. 22RE Ch. 0 - Prob. 23RE Ch. 0 - Prob. 24RE Ch. 0 - Prob. 25RE Ch. 0 - Prob. 26RE Ch. 0 - Prob. 27RE Ch. 0 - Prob. 28RE Ch. 0 - Prob. 29RE Ch. 0 - Prob. 30RE Ch. 0 - Prob. 31RE Ch. 0 - Prob. 32RE Ch. 0 - Prob. 33RE Ch. 0 - Prob. 34RE Ch. 0 - Prob. 35RE Ch. 0 - Prob. 36RE Ch. 0 - Prob. 37RE Ch. 0 - Prob. 38RE Ch. 0 - Prob. 39RE Ch. 0 - Prob. 40RE Ch. 0 - Prob. 41RE Ch. 0 - Prob. 42RE Ch. 0 - Prob. 43RE Ch. 0 - Prob. 44RE Ch. 0 - Prob. 45RE Ch. 0 - Prob. 46RE Ch. 0 - Prob. 47RE Ch. 0 - Prob. 48RE Ch. 0 - Prob. 49RE Ch. 0 - Prob. 50RE Ch. 0 - Prob. 51RE Ch. 0 - Prob. 52RE Ch. 0 - Prob. 53RE Ch. 0 - Prob. 54RE Ch. 0 - Prob. 55RE Ch. 0 - Prob. 56RE Ch. 0 - Prob. 57RE Ch. 0 - Prob. 58RE Ch. 0 - Prob. 59RE Ch. 0 - Prob. 60RE Ch. 0 - Prob. 61RE Ch. 0 - Prob. 62RE Ch. 0 - Prob. 63RE Ch. 0 - Prob. 64RE Ch. 0 - Prob. 65RE Ch. 0 - Prob. 66RE Ch. 0 - Prob. 67RE Ch. 0 - Prob. 68EP Ch. 0 - Prob. 69EP Ch. 0 - Prob. 70EP

Knowledge Booster

Recommended textbooks for you

Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning