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Sketching the Graphs of Inverse Functions
Use the graph of f to sketch the graph of f^-1. Then use the graph to determine the domain and range of each function.
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Sketching the Graphs of Inverse Functions
Use the graph of f to sketch the graph of f^{-1}. Then use the graph to determine the domain and range of each function.
Solution
Solution Steps
Step 1: Identify the given function
Examine the graph of the given function to understand its shape, intercepts, and general behavior.
Step 2: Determine the inverse function
Reflect the graph of the given function over the line \(y = x\) to obtain the graph of its inverse function.
Step 3: Match the inverse function graph
Compare the reflected graph with the provided options to identify the correct graph of the inverse function.
Final Answer
The correct graph of the inverse function is the one that matches the reflection of the original function over the line \(y = x\).