Homework Help is Here – Start Your Trial Now!
Math
Calculus
Use the graph to decide whether the value of the given quantity exists, If it does find it. If not, cxplain why. (a) f(1) (b) lim /(x) (e) S(4) (d) lim f(x)

Use the graph to decide whether the value of the given quantity exists, If it does find it. If not, cxplain why. (a) f(1) (b) lim /(x) (e) S(4) (d) lim f(x)

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question

I know Bartleby has a limit on three parts, so if you have to only do three, please show me how to do A, B, and D. Thank you.

### Understanding Function Values and Limits Using a Graph This exercise encourages students to use the provided graph to determine whether specific function values and limits exist. If they do, they are expected to find the values; if not, students should explain why. #### Questions: (a) \( f(1) \) (b) \( \lim_{{x \to 2}} f(x) \) (c) \( f(4) \) (d) \( \lim_{{x \to 4}} f(x) \) #### Graph Analysis: In the provided graph: - The \( x \)-axis ranges from -1 to 6. - The \( y \)-axis ranges from 0 to 6. - There appears to be a function \( f(x) \) graphed along the coordinate system, depicted as a curve. ### Detailed Explanation of the Graph: - For \( x = 1 \), locate the corresponding \( y \)-value on the function's curve. - For \( x \to 2 \), determine the limit of \( f(x) \) by observing the behavior of the function as it approaches \( x = 2 \) from both the left-hand and right-hand sides. - For \( x = 4 \), assess the function's value directly on the curve. - For \( x \to 4 \), determine the limit by observing how the function behaves as \( x \) approaches 4 from both sides. Students should pay close attention to any breaks, holes, or discontinuities in the graph, as these often indicate where certain values or limits may not exist. When a function value doesn't match its limit at a particular point, it often suggests a discontinuity at that point.
Transcribed Image Text:### Understanding Function Values and Limits Using a Graph This exercise encourages students to use the provided graph to determine whether specific function values and limits exist. If they do, they are expected to find the values; if not, students should explain why. #### Questions: (a) \( f(1) \) (b) \( \lim_{{x \to 2}} f(x) \) (c) \( f(4) \) (d) \( \lim_{{x \to 4}} f(x) \) #### Graph Analysis: In the provided graph: - The \( x \)-axis ranges from -1 to 6. - The \( y \)-axis ranges from 0 to 6. - There appears to be a function \( f(x) \) graphed along the coordinate system, depicted as a curve. ### Detailed Explanation of the Graph: - For \( x = 1 \), locate the corresponding \( y \)-value on the function's curve. - For \( x \to 2 \), determine the limit of \( f(x) \) by observing the behavior of the function as it approaches \( x = 2 \) from both the left-hand and right-hand sides. - For \( x = 4 \), assess the function's value directly on the curve. - For \( x \to 4 \), determine the limit by observing how the function behaves as \( x \) approaches 4 from both sides. Students should pay close attention to any breaks, holes, or discontinuities in the graph, as these often indicate where certain values or limits may not exist. When a function value doesn't match its limit at a particular point, it often suggests a discontinuity at that point.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Limits and Continuity
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS