Concept explainers
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
Answer to Problem 10WE
The graph of the function has the inverse function.
Explanation of Solution
Given information: The given graph is shown as,
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
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
Graph: The graph for the function is shown by reflecting the given graph across the line
Chapter 10 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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