Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
23.
![The image contains a graph representing a function \( f \).
**Graph Details:**
The coordinate system is marked with the x-axis ranging from -2 to 8 and the y-axis from 0 to 15, both in increments of 1.
- The function \( f \) is displayed as a red line with three segments:
- The first segment starts at the point \( (0, 8) \) and ends at \( (3, 10) \).
- The second segment continues from \( (3, 10) \) to \( (5, 11) \).
- The third segment goes from \( (5, 11) \) to \( (8, 14) \).
**Text Instructions:**
Below the graph, the text instructs to find the inverse values \( f^{-1}(9) \) and \( f^{-1}(13) \). There are fields provided for entering these values.
For calculation:
- \( f^{-1}(9) \): Locate 9 on the y-axis. The graph intersects the y-value 9 at the x-coordinate 2.
- \( f^{-1}(13) \): Locate 13 on the y-axis. The graph intersects the y-value 13 at the x-coordinate between 6 and 7, closer to 7.
\[ f^{-1}(9) = 2 \]
\[ f^{-1}(13) = \text{approximately } 6.6 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4adc11d5-605b-4e54-a139-b421352267a6%2F62c82287-ab5d-4bea-a30b-2808cb3b0ac1%2Fd0r9suj_processed.png&w=3840&q=75)
Transcribed Image Text:The image contains a graph representing a function \( f \).
**Graph Details:**
The coordinate system is marked with the x-axis ranging from -2 to 8 and the y-axis from 0 to 15, both in increments of 1.
- The function \( f \) is displayed as a red line with three segments:
- The first segment starts at the point \( (0, 8) \) and ends at \( (3, 10) \).
- The second segment continues from \( (3, 10) \) to \( (5, 11) \).
- The third segment goes from \( (5, 11) \) to \( (8, 14) \).
**Text Instructions:**
Below the graph, the text instructs to find the inverse values \( f^{-1}(9) \) and \( f^{-1}(13) \). There are fields provided for entering these values.
For calculation:
- \( f^{-1}(9) \): Locate 9 on the y-axis. The graph intersects the y-value 9 at the x-coordinate 2.
- \( f^{-1}(13) \): Locate 13 on the y-axis. The graph intersects the y-value 13 at the x-coordinate between 6 and 7, closer to 7.
\[ f^{-1}(9) = 2 \]
\[ f^{-1}(13) = \text{approximately } 6.6 \]
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