The image contains three graphs labeled as options c, d, and e.**Graph c:**- This graph displays a sinusoidal wave, suggesting it represents a trigonometric function, likely either sine or cosine. - The x-axis ranges from -3 to 3, and the y-axis ranges from -2 to 2.- The wave oscillates above and below the x-axis, completing one full cycle within this range.**Graph d:**- This graph appears to represent a horizontal line, indicating a constant function.- The x-axis ranges from -6 to 6, and the y-axis remains at 0.- The line is exactly along the x-axis, signifying that the output value does not change regardless of the input.**Graph e:**- This graph illustrates a curve with a vertical asymptote and a horizontal asymptote, typical of a rational function.- The x-axis ranges from -2 to 2 and seems to curve dramatically as it approaches these bounds.- The y-axis ranges from -12 to 12. The curve appears to approach infinity as x approaches a certain point, characteristic of asymptotic behavior.These graphs serve as visual aids for understanding the behavior and properties of different mathematical functions. The image displays a problem involving the graph of a function's derivative, \( f' \).### Graph Description:1. **First Graph**: - This graph is of the function \( f' \). - The graph plots a curve that starts from the bottom left, rises to a peak around \( x = 3 \), and then descends towards \( x = 5 \). - The inflection points appear around the relative maximum.2. **Multiple Choice Options**: - **Option a**: - The graph shows a curve that starts at around \( y = 4 \) on the left side and asymptotically approaches zero on the right. - It has a steep curve heading downwards from left to right. - **Option b**: - This graph is a horizontal line at approximately \( y = 1 \). - The line is straight, indicating no change along the x-axis.### Task:- **Select one**: - \( \circ \) a. - \( \circ \) b.This problem involves understanding the derivatives of functions and interpreting their graphical representations. By analyzing the graphs, one can determine the behavior of a function based on its derivative.

Answered: graph of the derivative f. -2 2 -2 2 XI

graph of the derivative f. -2 2 -2 2 XI

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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