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Use the graph of f to sketch the graph of f1. y 10 5 X -10 -5 10 5 10 Graph f-1 using closed endpoints for each segment. 10 12 -10 No Solution

Use the graph of f to sketch the graph of f1. y 10 5 X -10 -5 10 5 10 Graph f-1 using closed endpoints for each segment. 10 12 -10 No Solution

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## How to Sketch the Inverse of a Function ### Using the Graph of f to Sketch the Graph of f^(-1) The graph provided at the top shows the function \( f \) plotted on a Cartesian coordinate system. The x-axis ranges from \(-10\) to \(10\) while the y-axis ranges from \(-10\) to \(10\). The function \( f \) appears as a red line with the following segments: 1. A segment extending from approximately \((-10, -10)\) to \((-5, 0)\). 2. Another segment rising from approximately \((-5, 0)\) to \( (0, 5) \). 3. The final segment is from \( (0, 5) \) to approximately \( (10, 10) \). ### Instructions - **Graph the Inverse**: You are required to graph \( f^{-1} \) using closed endpoints for each segment in the provided graph below. - **Use Graph Tools**: Several tools are available on the left side of the graph: - A "pointer" tool. - A "line" tool. - A "circle" tool. - An "arrow" tool. - A "No Solution" option for marking no solution scenarios. #### Key Points for Graphing \( f^{-1} \): 1. **Interchange the X and Y Values**: For every point \( (a, b) \) on \( f \), there will be a point \( (b, a) \) on \( f^{-1} \). 2. **Plot New Points**: For example, the point \( (-10, -10) \) on \( f \) will be \( (-10, -10) \) on \( f^{-1} \) as well, but points like \( (10, 10) \) will also retain their position but will validate this reversal principle at other points not on the line y=x beforehand. ### Detailed Diagram Explanation The provided graph area where you will sketch \( f^{-1} \) similarly ranges from \(-10\) to \(10\) on both x and y axes, and it’s a blank grid for you to create the inverse function. Here, each coordinate point from the original function should be inverted (swapped), and lines drawn connecting these points. Ensure that: - The red segments
Transcribed Image Text:## How to Sketch the Inverse of a Function ### Using the Graph of f to Sketch the Graph of f^(-1) The graph provided at the top shows the function \( f \) plotted on a Cartesian coordinate system. The x-axis ranges from \(-10\) to \(10\) while the y-axis ranges from \(-10\) to \(10\). The function \( f \) appears as a red line with the following segments: 1. A segment extending from approximately \((-10, -10)\) to \((-5, 0)\). 2. Another segment rising from approximately \((-5, 0)\) to \( (0, 5) \). 3. The final segment is from \( (0, 5) \) to approximately \( (10, 10) \). ### Instructions - **Graph the Inverse**: You are required to graph \( f^{-1} \) using closed endpoints for each segment in the provided graph below. - **Use Graph Tools**: Several tools are available on the left side of the graph: - A "pointer" tool. - A "line" tool. - A "circle" tool. - An "arrow" tool. - A "No Solution" option for marking no solution scenarios. #### Key Points for Graphing \( f^{-1} \): 1. **Interchange the X and Y Values**: For every point \( (a, b) \) on \( f \), there will be a point \( (b, a) \) on \( f^{-1} \). 2. **Plot New Points**: For example, the point \( (-10, -10) \) on \( f \) will be \( (-10, -10) \) on \( f^{-1} \) as well, but points like \( (10, 10) \) will also retain their position but will validate this reversal principle at other points not on the line y=x beforehand. ### Detailed Diagram Explanation The provided graph area where you will sketch \( f^{-1} \) similarly ranges from \(-10\) to \(10\) on both x and y axes, and it’s a blank grid for you to create the inverse function. Here, each coordinate point from the original function should be inverted (swapped), and lines drawn connecting these points. Ensure that: - The red segments
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