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The plot below represents the function f(x) 8 7 6 5+ 4 3 1 2 3 4 5 2 1 -5 -4 -3 -2 -1 -1 -2+ Solve f(x) = 2 -3 3 2.6

The plot below represents the function f(x) 8 7 6 5+ 4 3 1 2 3 4 5 2 1 -5 -4 -3 -2 -1 -1 -2+ Solve f(x) = 2 -3 3 2.6

Calculus: Early Transcendentals
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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### Understanding The Function \( f(x) \) The plot below represents the function \( f(x) \). **Graph Description:** - The graph consists of a single line plotted in a coordinate plane. - The x-axis (horizontal) ranges from -5 to 5. - The y-axis (vertical) ranges from -2 to 8. - The line intersects the y-axis between the points 2 and 3. - The slope of the line is positive, indicating that the function is increasing. **Question:** Solve for \( f(x) = 2 \). **Options:** - \( A. \ -3 \) - \( B. \ 3 \) - \( C. \ 2.6 \) ### Explanation: To solve \( f(x) = 2 \) using the graph: 1. Locate the y-value of 2 on the y-axis. 2. Find the corresponding x-value where the line intersects this y-value. **Answer:** The correct x-value where \( f(x) = 2 \) is approximately \( -1 \). Therefore, the answer is: - \( A. \ -3 \) is incorrect. - \( B. \ 3 \) is incorrect. - \( C. \ 2.6 \) is incorrect. So, none of the given options is correct based on the graph. The actual x-value is around -1.
Transcribed Image Text:### Understanding The Function \( f(x) \) The plot below represents the function \( f(x) \). **Graph Description:** - The graph consists of a single line plotted in a coordinate plane. - The x-axis (horizontal) ranges from -5 to 5. - The y-axis (vertical) ranges from -2 to 8. - The line intersects the y-axis between the points 2 and 3. - The slope of the line is positive, indicating that the function is increasing. **Question:** Solve for \( f(x) = 2 \). **Options:** - \( A. \ -3 \) - \( B. \ 3 \) - \( C. \ 2.6 \) ### Explanation: To solve \( f(x) = 2 \) using the graph: 1. Locate the y-value of 2 on the y-axis. 2. Find the corresponding x-value where the line intersects this y-value. **Answer:** The correct x-value where \( f(x) = 2 \) is approximately \( -1 \). Therefore, the answer is: - \( A. \ -3 \) is incorrect. - \( B. \ 3 \) is incorrect. - \( C. \ 2.6 \) is incorrect. So, none of the given options is correct based on the graph. The actual x-value is around -1.
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