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Which of the statements is true about the graph of y = f(x)? -5 -4 -3 -2 II and IV only All are true. 1. f is decreasing in the interval (-co, 0). II. f is increasing in the interval (2,4). III. f has a relative maximum at x = 4. IV. f has a relative minimum at x = 0. II and III only O I and III only None are true. O IV only II only O I and II only 5 Ay 4 3 2 1 O I, III and IV only #1 -2 -3 -4 -5 |_y=f(x) 2 3 4

Which of the statements is true about the graph of y = f(x)? -5 -4 -3 -2 II and IV only All are true. 1. f is decreasing in the interval (-co, 0). II. f is increasing in the interval (2,4). III. f has a relative maximum at x = 4. IV. f has a relative minimum at x = 0. II and III only O I and III only None are true. O IV only II only O I and II only 5 Ay 4 3 2 1 O I, III and IV only #1 -2 -3 -4 -5 |_y=f(x) 2 3 4

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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**Graph Analysis of \( y = f(x) \)** The graph of \( y = f(x) \) is depicted on a coordinate plane. The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. The curve begins at around \( (0, 0) \), moving downward through the quadrant four, and bottoming out near \( (-2, -2) \). It then ascends, crossing the y-axis at \( (0, 0) \), reaching a peak around \( (2, 3) \), and slightly dipping before sharply rising again through \( (4, 5) \). Key features: - The function is graphed with an orange curve labeled \( y = f(x) \). - There is a slight dip before a sharp rise near x=5, where the function ends with an open circle, indicating the point does not belong to the graph. **Statements:** 1. \( f \) is decreasing in the interval \( (-\infty, 0) \). 2. \( f \) is increasing in the interval \( (2, 4) \). 3. \( f \) has a relative maximum at \( x = 4 \). 4. \( f \) has a relative minimum at \( x = 0 \). **Options to Choose From:** - ☐ I and IV only - ☐ All are true - ☐ I and II only - ☐ I and III only - ☐ None are true - ☐ IV only - ☐ II only - ☐ I only - ☐ I, II and IV only The task is to determine which of these statements are supported by the graph of \( f(x) \).
Transcribed Image Text:**Graph Analysis of \( y = f(x) \)** The graph of \( y = f(x) \) is depicted on a coordinate plane. The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. The curve begins at around \( (0, 0) \), moving downward through the quadrant four, and bottoming out near \( (-2, -2) \). It then ascends, crossing the y-axis at \( (0, 0) \), reaching a peak around \( (2, 3) \), and slightly dipping before sharply rising again through \( (4, 5) \). Key features: - The function is graphed with an orange curve labeled \( y = f(x) \). - There is a slight dip before a sharp rise near x=5, where the function ends with an open circle, indicating the point does not belong to the graph. **Statements:** 1. \( f \) is decreasing in the interval \( (-\infty, 0) \). 2. \( f \) is increasing in the interval \( (2, 4) \). 3. \( f \) has a relative maximum at \( x = 4 \). 4. \( f \) has a relative minimum at \( x = 0 \). **Options to Choose From:** - ☐ I and IV only - ☐ All are true - ☐ I and II only - ☐ I and III only - ☐ None are true - ☐ IV only - ☐ II only - ☐ I only - ☐ I, II and IV only The task is to determine which of these statements are supported by the graph of \( f(x) \).
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