Explanation Given information: f ( x ) = { − x 2 when x < 0 x when x ≥ 0 Concept used: A function f is increasing on ( a , b ) if f ( x 1 ) < f ( x 2 ) for all x 1 , x 2 ∈ ( a , b ) such that x 1 < x 2 To determine (b) If f ( x ) = { − x 2 when x < 0 x when x ≥ 0 then find the inverse of f

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 1, Problem 63CRE

To determine

(a)

To find that f is increasing or not, if f(x)={−x2 when x<0x when x≥0

To determine

(b)

If f(x)={−x2 when x<0x when x≥0

then find the inverse of f

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Chapter 1, Problem 62CRE

Chapter 1, Problem 64CRE

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Chapter 1 Solutions

Loose-leaf Version For Calculus: Early Transcendentals

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

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(a) To find that f is increasing or not, if f ( x ) = { − x 2 when x < 0 x when x ≥ 0

Solution Summary: The author explains that if f is increasing or not, it is clear by the definition of increasing function.

Concept explainers

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(a)

To find that f is increasing or not, if f(x)={−x2 when x<0x when x≥0

(b)

If f(x)={−x2 when x<0x when x≥0

then find the inverse of f

Want to see the full answer?

Chapter 1 Solutions

(a) To find that f is increasing or not, if f ( x ) = { − x 2 when x &lt; 0 x when x ≥ 0

Solution Summary: The author explains that if f is increasing or not, it is clear by the definition of increasing function.

Concept explainers

Videos

(a) To find that f is increasing or not, if f(x)={−x2 when x<0x when x≥0

(b) If f(x)={−x2 when x<0x when x≥0 then find the inverse of f

Want to see the full answer?

Chapter 1 Solutions

(a) To find that f is increasing or not, if f ( x ) = { − x 2 when x < 0 x when x ≥ 0

(a)

To find that f is increasing or not, if f(x)={−x2 when x<0x when x≥0

(b)

If f(x)={−x2 when x<0x when x≥0

then find the inverse of f