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The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. yA (a) A function value f(a) is a local maximum value of fif f(a) is the --Select--- ♥] value of f on some open interval containing a. From the graph of f we see that there are two local maximum values of f: one local maximum is and it occurs when x = 2; the other local maximum is and it occurs when x = (b) The function value f(a) is a local minimum value of f if f(a) is the --Select--- ♥] value of f on some open interval containing a. From the graph of f we see that there is one local minimum value of f. The local minimum value is and it occurs when X =

The function f graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. yA (a) A function value f(a) is a local maximum value of fif f(a) is the --Select--- ♥] value of f on some open interval containing a. From the graph of f we see that there are two local maximum values of f: one local maximum is and it occurs when x = 2; the other local maximum is and it occurs when x = (b) The function value f(a) is a local minimum value of f if f(a) is the --Select--- ♥] value of f on some open interval containing a. From the graph of f we see that there is one local minimum value of f. The local minimum value is and it occurs when X =

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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**Polynomial Functions and Their Graphs** The function \( f \) graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. ### Graph Description: The graph depicts a polynomial function \( f \) with significant points of interest. The vertical axis is labeled \( y \) and the horizontal axis is labeled \( x \). The function \( f \) is depicted in red. Several key points can be observed on this graph: - The graph shows two peaks (local maxima) and one trough (local minimum). ### Exercise: (a) A function value \( f(a) \) is a local maximum value of \( f \) if \( f(a) \) is the \( \underset{---}{\text{Select}} \) value of \( f \) on some open interval containing \( a \). From the graph of \( f \), we see that there are two local maximum values of \( f \): - One local maximum is \( \underset{-----}{ } \), and it occurs when \( x = 2 \). - The other local maximum is \( \underset{-----}{ } \), and it occurs when \( x = \underset{-----}{ } \). (b) The function value \( f(a) \) is a local minimum value of \( f \) if \( f(a) \) is the \( \underset{---}{\text{Select}} \) value of \( f \) on some open interval containing \( a \). From the graph of \( f \), we see that there is one local minimum value of \( f \): - The local minimum value is \( \underset{-----}{ } \), and it occurs when \( x = \underset{-----}{ } \). ### Instructions: - Identify the local maxima and local minimum from the graph. - Fill in the blanks with appropriate values and select the correct descriptors (either "maximum" or "minimum").
Transcribed Image Text:**Polynomial Functions and Their Graphs** The function \( f \) graphed below is defined by a polynomial expression of degree 4. Use the graph to solve the exercise. ### Graph Description: The graph depicts a polynomial function \( f \) with significant points of interest. The vertical axis is labeled \( y \) and the horizontal axis is labeled \( x \). The function \( f \) is depicted in red. Several key points can be observed on this graph: - The graph shows two peaks (local maxima) and one trough (local minimum). ### Exercise: (a) A function value \( f(a) \) is a local maximum value of \( f \) if \( f(a) \) is the \( \underset{---}{\text{Select}} \) value of \( f \) on some open interval containing \( a \). From the graph of \( f \), we see that there are two local maximum values of \( f \): - One local maximum is \( \underset{-----}{ } \), and it occurs when \( x = 2 \). - The other local maximum is \( \underset{-----}{ } \), and it occurs when \( x = \underset{-----}{ } \). (b) The function value \( f(a) \) is a local minimum value of \( f \) if \( f(a) \) is the \( \underset{---}{\text{Select}} \) value of \( f \) on some open interval containing \( a \). From the graph of \( f \), we see that there is one local minimum value of \( f \): - The local minimum value is \( \underset{-----}{ } \), and it occurs when \( x = \underset{-----}{ } \). ### Instructions: - Identify the local maxima and local minimum from the graph. - Fill in the blanks with appropriate values and select the correct descriptors (either "maximum" or "minimum").
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