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 9WE
The graph of the function has not 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 does not passes the horizontal line test. Therefore the graph of the function has not the inverse function. Hence the inverse of the function does not exist for the given graph.
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Algebra and Trigonometry: Structure and Method, Book 2
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