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If y = f(x) in the figure, find the following. y -6 -4 -2 (a) f(5) = (b) f(9) = 12 6 -6- (5, 6) (2,2) (9, 10) 6 8 10

If y = f(x) in the figure, find the following. y -6 -4 -2 (a) f(5) = (b) f(9) = 12 6 -6- (5, 6) (2,2) (9, 10) 6 8 10

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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**Educational Content: Analyzing Graph of a Function** **Graph Description:** The graph depicts a function \( y = f(x) \). The x-axis ranges from \(-6\) to \(12\), and the y-axis ranges from \(-6\) to \(14\). The curve features several notable points marked on it: 1. \( (2, 2) \) 2. \( (5, 6) \) 3. \( (9, 10) \) The graph shows a general upward trend with some fluctuations: - From \(-6\) to \(2\), the curve dips below the x-axis then rises to cross the axis again at \(x = 2\). - The graph rises to reach the point \((5, 6)\). - It continues upward to reach the point \((9, 10)\). - Beyond \(x = 9\), the curve continues to rise steeply. **Instructions:** Given this graph, students are asked to determine specific function values: (a) Find \( f(5) \). (b) Find \( f(9) \). **Solution Approach:** To find \( f(5) \): - Locate the x-coordinate \(x = 5\) on the graph. - Identify the corresponding y-coordinate, which is \(6\). - Thus, \( f(5) = 6 \). To find \( f(9) \): - Locate the x-coordinate \(x = 9\) on the graph. - Identify the corresponding y-coordinate, which is \(10\). - Thus, \( f(9) = 10 \).
Transcribed Image Text:**Educational Content: Analyzing Graph of a Function** **Graph Description:** The graph depicts a function \( y = f(x) \). The x-axis ranges from \(-6\) to \(12\), and the y-axis ranges from \(-6\) to \(14\). The curve features several notable points marked on it: 1. \( (2, 2) \) 2. \( (5, 6) \) 3. \( (9, 10) \) The graph shows a general upward trend with some fluctuations: - From \(-6\) to \(2\), the curve dips below the x-axis then rises to cross the axis again at \(x = 2\). - The graph rises to reach the point \((5, 6)\). - It continues upward to reach the point \((9, 10)\). - Beyond \(x = 9\), the curve continues to rise steeply. **Instructions:** Given this graph, students are asked to determine specific function values: (a) Find \( f(5) \). (b) Find \( f(9) \). **Solution Approach:** To find \( f(5) \): - Locate the x-coordinate \(x = 5\) on the graph. - Identify the corresponding y-coordinate, which is \(6\). - Thus, \( f(5) = 6 \). To find \( f(9) \): - Locate the x-coordinate \(x = 9\) on the graph. - Identify the corresponding y-coordinate, which is \(10\). - Thus, \( f(9) = 10 \).
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