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The graph of the fourth degree polynomial function f is given below. 5 1 2 3 4 The x-intercepts are at x = 1, x = 3, and x = 5. The y-intercept is at y = 5. What is the exact value of f(4)?

The graph of the fourth degree polynomial function f is given below. 5 1 2 3 4 The x-intercepts are at x = 1, x = 3, and x = 5. The y-intercept is at y = 5. What is the exact value of f(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 of a Fourth Degree Polynomial Function The graph displayed above represents a fourth degree polynomial function \( f \). #### Key Features of the Graph: - **X-intercepts**: The graph intersects the x-axis at \( x = 1 \), \( x = 3 \), and \( x = 5 \). - **Y-intercept**: The graph intersects the y-axis at \( y = 5 \). #### Graph Description: The graph begins at \( y = 5 \) on the y-axis and descends towards the x-axis, crossing at \( x = 1 \). It then rises again, creating a local maximum before crossing the x-axis at \( x = 3 \). Following this, it dips to form a local minimum before rising sharply, crossing the x-axis again at \( x = 5 \), and continuing upwards. #### Problem: What is the exact value of \( f(4) \)?
Transcribed Image Text:### Graph of a Fourth Degree Polynomial Function The graph displayed above represents a fourth degree polynomial function \( f \). #### Key Features of the Graph: - **X-intercepts**: The graph intersects the x-axis at \( x = 1 \), \( x = 3 \), and \( x = 5 \). - **Y-intercept**: The graph intersects the y-axis at \( y = 5 \). #### Graph Description: The graph begins at \( y = 5 \) on the y-axis and descends towards the x-axis, crossing at \( x = 1 \). It then rises again, creating a local maximum before crossing the x-axis at \( x = 3 \). Following this, it dips to form a local minimum before rising sharply, crossing the x-axis again at \( x = 5 \), and continuing upwards. #### Problem: What is the exact value of \( f(4) \)?
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