I) Graph of f(x) is given on the right. Answer the following questions using the graph. a) lim f(x)= b) lim f(x)= c) lim f(x)= d) f(2)= 6 5 43 -2 -1 3 456 e) lim f(x) = ) lim f(x) = a ling f (x) =

Calculus: Early Transcendentals
8th Edition
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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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**Graph of \( f(x) \): Questions and Analysis**

The graph of the function \( f(x) \) is provided on the right. Use the graph to answer the following questions:

a) \( \lim_{x \to -2^-} f(x) = \)

b) \( \lim_{x \to -2^+} f(x) = \)

c) \( \lim_{x \to -2} f(x) = \)

d) \( f(2) = \)

e) \( \lim_{x \to 2} f(x) = \)

f) \( \lim_{x \to 4^-} f(x) = \)

g) \( \lim_{x \to 4^+} f(x) = \)

**Graph Description:**

- The graph is plotted on a Cartesian plane with \( x \)-axis and \( y \)-axis.
- Key points and plots are marked with filled and open circles.
- As \( x \) approaches -2 from the left (\( x \to -2^- \)), the graph rises towards a particular \( y \)-value.
- As \( x \) approaches -2 from the right (\( x \to -2^+ \)), the graph falls towards a different \( y \)-value.
- At \( x = 2 \), there is a discrepancy in the graph such as a jump or hole, indicating a potential discontinuity.
- The behavior of the graph is traced as \( x \) approaches different points, notably -2, 2, and 4.
- The horizontal and vertical lines might suggest asymptotes or critical points.

Note: The exact values of the limits and function evaluations should be derived from the graph's visual details, focusing on how the graph behaves as it approaches each specified point and value.
Transcribed Image Text:**Graph of \( f(x) \): Questions and Analysis** The graph of the function \( f(x) \) is provided on the right. Use the graph to answer the following questions: a) \( \lim_{x \to -2^-} f(x) = \) b) \( \lim_{x \to -2^+} f(x) = \) c) \( \lim_{x \to -2} f(x) = \) d) \( f(2) = \) e) \( \lim_{x \to 2} f(x) = \) f) \( \lim_{x \to 4^-} f(x) = \) g) \( \lim_{x \to 4^+} f(x) = \) **Graph Description:** - The graph is plotted on a Cartesian plane with \( x \)-axis and \( y \)-axis. - Key points and plots are marked with filled and open circles. - As \( x \) approaches -2 from the left (\( x \to -2^- \)), the graph rises towards a particular \( y \)-value. - As \( x \) approaches -2 from the right (\( x \to -2^+ \)), the graph falls towards a different \( y \)-value. - At \( x = 2 \), there is a discrepancy in the graph such as a jump or hole, indicating a potential discontinuity. - The behavior of the graph is traced as \( x \) approaches different points, notably -2, 2, and 4. - The horizontal and vertical lines might suggest asymptotes or critical points. Note: The exact values of the limits and function evaluations should be derived from the graph's visual details, focusing on how the graph behaves as it approaches each specified point and value.
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