Hi! This question has 8 subparts. I need the next three, that is D through F. Thank you! The text from the image to appear on an educational website is as follows:---**d.** \( \lim_{{x \to 0}} f(x) \)**e.** \( f(2) \)**f.** \( \lim_{{x \to 2}} f(x) \)---There are no graphs or diagrams in the image. The text consists of mathematical expressions related to the limits and values of a function \( f(x) \) at specific points. Here's a brief explanation of each item:- **d.** The limit of \( f(x) \) as \( x \) approaches 0.- **e.** The value of the function \( f(x) \) at \( x = 2 \).- **f.** The limit of \( f(x) \) as \( x \) approaches 2.Limits are fundamental concepts in calculus and mathematical analysis concerning the behavior of functions as the input approaches some value. The function value, \( f(x) \), describes the output of the function at a specific input. This graph illustrates a piecewise function with distinct behaviors in different intervals of the x-axis. Let's break down each section of the function in detail:1. **Interval x ≤ -2**: - The graph opens upwards, resembling a parabola, and the curve approaches y = 4 as x moves to the left. - Point (-2, 0) is marked by an open circle, indicating the value is not included in the function.2. **Interval -2 < x < 1**: - The graph extends to the right from the open circle at (-2, 0) downwards until it reaches (1, -2). 3. **Interval 1 ≤ x < 3**: - The graph is a horizontal line at y = -2, with an open circle at (1, -2) and continues to (3, -2). - The points at (1, -2) and (3, -2) are depicted as open circles, indicating they are not included in the function’s value.4. **Interval 3 ≤ x ≤ 5**: - The function starts with an open circle at (3, -2) and curves upwards sharply. - The curve has a filled dot at (4, 3) indicating the point is included in the function. - The function continues to (5, 4), depicted as a part of the curve that opens upwards.This piecewise graph provides a clear visual representation of how the function behaves across different intervals of the x-axis, with special attention to open and closed points indicating exclusion and inclusion of values, respectively.The x-axis is labeled with values ranging from -2 to 5, and the y-axis is labeled with values from -2 to 4. The graph uses open circles (◯) and filled circles to denote which points are excluded and included in the function's value.

Answered: Image /qna-images/answer/22325b5f-b453-475c-bc61-e8a52ae74bf8.jpg

Answered: 2 2 J 1 2 3

Math

Calculus

2 2 J 1 2 3

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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