### Question 14: State the Domain of the Following Function**Graph Description:**The provided graph illustrates a function with significant features to be examined:- The x-axis ranges from -6 to 6, while the y-axis ranges from -4 to 4.- There is a vertical asymptote at $x = -2$, suggesting that the function is undefined there.- The graph shows that the function approaches $y = \infty$ as $x$ approaches -2 from the left, and approaches $y = -\infty$ as $x$ approaches -2 from the right.- The function is continuous from $x = -6$ to $x = -2$, excluding $x = -2$.- For $x > -2$, the function resumes and is continuous, with an open circle (indicating discontinuity) at $(0, 0)$.- The function is defined at $ (1, 3) $, marked by a solid dot at this coordinate.#### Domain:The domain of the function includes all real numbers except $x = -2$ due to the vertical asymptote, and $x = 0$ because of the open circle (hole in the graph).**Mathematically, the domain is:**\[ (-\infty, -2) \cup (-2, 0) \cup (0, \infty) \]This covers the intervals where the function is defined.

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Answered: 14. State the domain of the following…

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Calculus

14. State the domain of the following function -4 -96 -4 2 2 4 6. 2.

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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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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