### Problem 9: Understanding the Behavior of a Function as x Approaches 0**Question:** What value is the function approaching when the function is getting closer to $ x = 0 $? Explain.**Graph Explanation:** The image contains a plot of a parabolic function. The x-axis ranges from -4 to +4 and the y-axis ranges from -4 to +4. The graph is a symmetric parabola opening downwards, with its vertex at the point (0, 4).**Detailed Analysis:**- The function displayed in the graph is a downward-facing parabola.- The vertex of the parabola, the highest point on the graph, lies at $ (0, 4) $.- As $ x $ approaches 0 from either the positive or negative direction, the values of the function get closer to 4. **Conclusion:**When $ x $ gets closer to 0, the function is approaching the value 4. This conclusion is drawn by observing the vertex of the parabola, which represents the maximum value the function reaches.

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Answered: 9. What value is the function…

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Calculus

9. What value is the function approaching when the function is getting closer to x = 0? Explain

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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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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