Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Concept explainers

Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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Chapter 10.3, Problem 8WE
To determine

With the help of horizontal-line test determine whether the function shown in graph has an inverse function or not. If so draw the sketch of inverse of function by reflecting the function across the line y=x .

  Algebra and Trigonometry: Structure and Method, Book 2, Chapter 10.3, Problem 8WE , additional homework tip 1

Expert Solution & Answer
Check Mark

Answer to Problem 8WE

The graph of the function has the inverse function.

Explanation of Solution

Given information: The given graph is shown as,

  Algebra and Trigonometry: Structure and Method, Book 2, Chapter 10.3, Problem 8WE , additional homework tip 2

Formula used: The horizontal-line test for the graph of a function to have its inverse function, the graph must passes through the horizontal line test. It means if any line drawn horizontal parallel to (x) axis, cuts the graph at most one point then its inverse exists, else not.

Calculation: Since the given graph of function passes the horizontal line test. Therefore the graph of the function has the inverse function. Hence the inverse of the function exist for the given graph and inverse is shown as reflecting the graph across the line y=x .

Graph: The graph for the function is shown by reflecting the given graph across the line y=x .

  Algebra and Trigonometry: Structure and Method, Book 2, Chapter 10.3, Problem 8WE , additional homework tip 3

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Chapter 10.3, Problem 7WE
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Chapter 10.3, Problem 9WE

Chapter 10 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 10.1 - Prob. 1OECh. 10.1 - Prob. 2OECh. 10.1 - Prob. 3OECh. 10.1 - Prob. 4OECh. 10.1 - Prob. 5OECh. 10.1 - Prob. 6OECh. 10.1 - Prob. 7OECh. 10.1 - Prob. 8OECh. 10.1 - Prob. 9OECh. 10.1 - Prob. 10OE
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Prob. 12WECh. 10.3 - Prob. 13WECh. 10.3 - Prob. 14WECh. 10.3 - Prob. 15WECh. 10.3 - Prob. 16WECh. 10.3 - Prob. 17WECh. 10.3 - Prob. 18WECh. 10.3 - Prob. 19WECh. 10.3 - Prob. 20WECh. 10.3 - Prob. 21WECh. 10.3 - Prob. 22WECh. 10.3 - Prob. 23WECh. 10.3 - Prob. 24WECh. 10.3 - Prob. 25WECh. 10.3 - Prob. 26WECh. 10.3 - Prob. 1MRECh. 10.3 - Prob. 2MRECh. 10.3 - Prob. 3MRECh. 10.3 - Prob. 4MRECh. 10.3 - Prob. 5MRECh. 10.3 - Prob. 6MRECh. 10.3 - Prob. 7MRECh. 10.3 - Prob. 8MRECh. 10.3 - Prob. 9MRECh. 10.3 - Prob. 10MRECh. 10.3 - Prob. 11MRECh. 10.3 - Prob. 12MRECh. 10.3 - Prob. 1STCh. 10.3 - Prob. 2STCh. 10.3 - Prob. 3STCh. 10.3 - Prob. 4STCh. 10.3 - Prob. 5STCh. 10.3 - Prob. 6STCh. 10.3 - Prob. 7STCh. 10.4 - Prob. 1OECh. 10.4 - Prob. 2OECh. 10.4 - Prob. 3OECh. 10.4 - Prob. 4OECh. 10.4 - Prob. 5OECh. 10.4 - Prob. 6OECh. 10.4 - Prob. 7OECh. 10.4 - Prob. 8OECh. 10.4 - Prob. 9OECh. 10.4 - Prob. 10OECh. 10.4 - Prob. 11OECh. 10.4 - Prob. 12OECh. 10.4 - Prob. 13OECh. 10.4 - Prob. 14OECh. 10.4 - Prob. 15OECh. 10.4 - 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Prob. 27WECh. 10.5 - Prob. 28WECh. 10.5 - Prob. 29WECh. 10.5 - Prob. 30WECh. 10.5 - Prob. 31WECh. 10.5 - Prob. 32WECh. 10.5 - Prob. 33WECh. 10.5 - Prob. 34WECh. 10.5 - Prob. 35WECh. 10.5 - Prob. 36WECh. 10.5 - Prob. 37WECh. 10.5 - Prob. 38WECh. 10.5 - Prob. 39WECh. 10.5 - Prob. 40WECh. 10.5 - Prob. 41WECh. 10.5 - Prob. 42WECh. 10.5 - Prob. 43WECh. 10.5 - Prob. 44WECh. 10.5 - Prob. 45WECh. 10.5 - Prob. 46WECh. 10.5 - Prob. 47WECh. 10.5 - Prob. 48WECh. 10.5 - Prob. 49WECh. 10.5 - Prob. 50WECh. 10.5 - Prob. 51WECh. 10.5 - Prob. 1MRECh. 10.5 - Prob. 2MRECh. 10.5 - Prob. 3MRECh. 10.5 - Prob. 4MRECh. 10.5 - Prob. 5MRECh. 10.5 - Prob. 6MRECh. 10.5 - Prob. 7MRECh. 10.5 - Prob. 8MRECh. 10.5 - Prob. 9MRECh. 10.5 - Prob. 10MRECh. 10.5 - Prob. 11MRECh. 10.5 - Prob. 12MRECh. 10.5 - Prob. 13MRECh. 10.5 - Prob. 1STCh. 10.5 - Prob. 2STCh. 10.5 - Prob. 3STCh. 10.5 - Prob. 4STCh. 10.5 - Prob. 5STCh. 10.5 - Prob. 6STCh. 10.5 - Prob. 7STCh. 10.6 - Prob. 1OECh. 10.6 - Prob. 2OECh. 10.6 - Prob. 3OECh. 10.6 - Prob. 4OECh. 10.6 - Prob. 5OECh. 10.6 - Prob. 6OECh. 10.6 - Prob. 7OECh. 10.6 - Prob. 8OECh. 10.6 - Prob. 9OECh. 10.6 - Prob. 10OECh. 10.6 - Prob. 11OECh. 10.6 - Prob. 12OECh. 10.6 - Prob. 13OECh. 10.6 - Prob. 14OECh. 10.6 - Prob. 15OECh. 10.6 - Prob. 16OECh. 10.6 - Prob. 1WECh. 10.6 - Prob. 2WECh. 10.6 - Prob. 3WECh. 10.6 - Prob. 4WECh. 10.6 - Prob. 5WECh. 10.6 - Prob. 6WECh. 10.6 - Prob. 7WECh. 10.6 - Prob. 8WECh. 10.6 - Prob. 9WECh. 10.6 - Prob. 10WECh. 10.6 - Prob. 11WECh. 10.6 - Prob. 12WECh. 10.6 - Prob. 13WECh. 10.6 - Prob. 14WECh. 10.6 - Prob. 15WECh. 10.6 - Prob. 16WECh. 10.6 - Prob. 17WECh. 10.6 - Prob. 18WECh. 10.6 - Prob. 19WECh. 10.6 - Prob. 20WECh. 10.6 - Prob. 21WECh. 10.6 - Prob. 22WECh. 10.6 - Prob. 23WECh. 10.6 - Prob. 24WECh. 10.6 - Prob. 25WECh. 10.6 - Prob. 26WECh. 10.6 - Prob. 27WECh. 10.6 - Prob. 28WECh. 10.6 - Prob. 29WECh. 10.6 - Prob. 30WECh. 10.6 - Prob. 31WECh. 10.6 - Prob. 32WECh. 10.6 - Prob. 33WECh. 10.6 - Prob. 34WECh. 10.6 - Prob. 35WECh. 10.6 - Prob. 36WECh. 10.6 - Prob. 37WECh. 10.6 - Prob. 38WECh. 10.6 - Prob. 39WECh. 10.6 - Prob. 40WECh. 10.6 - Prob. 41WECh. 10.6 - Prob. 42WECh. 10.7 - Prob. 1OECh. 10.7 - Prob. 2OECh. 10.7 - Prob. 3OECh. 10.7 - Prob. 4OECh. 10.7 - Prob. 1PCh. 10.7 - Prob. 2PCh. 10.7 - Prob. 3PCh. 10.7 - Prob. 4PCh. 10.7 - Prob. 5PCh. 10.7 - Prob. 6PCh. 10.7 - Prob. 7PCh. 10.7 - Prob. 8PCh. 10.7 - Prob. 9PCh. 10.7 - Prob. 10PCh. 10.7 - Prob. 11PCh. 10.7 - Prob. 12PCh. 10.7 - Prob. 13PCh. 10.7 - Prob. 14PCh. 10.7 - Prob. 15PCh. 10.7 - Prob. 16PCh. 10.7 - Prob. 17PCh. 10.7 - Prob. 18PCh. 10.7 - Prob. 19PCh. 10.7 - Prob. 20PCh. 10.7 - Prob. 21PCh. 10.7 - Prob. 22PCh. 10.7 - Prob. 1MRECh. 10.7 - Prob. 2MRECh. 10.7 - Prob. 3MRECh. 10.7 - Prob. 4MRECh. 10.7 - Prob. 5MRECh. 10.7 - Prob. 6MRECh. 10.7 - Prob. 7MRECh. 10.7 - Prob. 8MRECh. 10.7 - Prob. 9MRECh. 10.7 - Prob. 10MRECh. 10.7 - Prob. 11MRECh. 10.7 - Prob. 12MRECh. 10.8 - Prob. 1OECh. 10.8 - Prob. 2OECh. 10.8 - Prob. 3OECh. 10.8 - Prob. 4OECh. 10.8 - Prob. 5OECh. 10.8 - Prob. 6OECh. 10.8 - 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