a.
To describe: the monotonicity of the function.
a.
Answer to Problem 37E
The odd power functions is monotonic on its entire domain.
Explanation of Solution
Given information:
Function is defined for all values of x and its graph passes the horizontal line test.
Calculation:
For the function to pass the horizontal line test and it should be monotonic on its entire domain. Thus, the function must be a simple odd power function
b.
To describe: the monotonicity of the inverse of the function.
b.
Answer to Problem 37E
Increases on its entire domain
Explanation of Solution
Given information:
Function is defined for all values of x and its graph passes the horizontal line test.
Calculation:
The graph of inverse is in the same fashion as the function, i.e. monotonic. Look at the graph of
The inverse also passes the horizontal line test and its graph is also increasing on its entire domain.
Chapter 3 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Precalculus (10th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus: Early Transcendentals (2nd Edition)
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