A. x-intercept D. vertical asymptote G. intervals of concavity B. y-intercept E. horizontal asymptote H. intervals of increase/decrease I. Inflection points C. a hole F. local extremum K. a jump J. domain Match graph features with calculus/algebra concepts. Write the letter in the blank. Let a, b, and c be constants. Each of the following parts are independent. 1. f(a) does not exist and lim f(x) = to x-a 2. f(0) = a 3. lim f(x) = b 4. f(c) = 0 5. f(a) does not exist and lim f(x) = b 6. f"(x) > 0 on an interval I f'(x) > 0 on an interval I The restriction of f (x) is x 2 a. 7. 8. b = lim f(x) # lim f(x) = c X-a 9. f'(b) = 0 and f'(x) > 0 for x < b and f'(x) < 0 for x > b. 10. 11. f"(a) = 0 and f"(x) > 0 for x < a and f"(x) < 0 for x > a f'(b) does not exist and f'(x) < 0 for x < b and f'(x) > O for x > b f'(c) = 0 and f"(c) > 0 f'(x) < O for all x in the domain of f(x). 12. 13. 14.

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...
icon
Related questions
Question

Need help with 8,9, and 10

A. x-intercept
D. vertical asymptote
G. intervals of concavity
B. y-intercept
E. horizontal asymptote
H. intervals of increase/decrease I. Inflection points
C. a hole
F. local extremum
K. a jump
J. domain
Transcribed Image Text:A. x-intercept D. vertical asymptote G. intervals of concavity B. y-intercept E. horizontal asymptote H. intervals of increase/decrease I. Inflection points C. a hole F. local extremum K. a jump J. domain
Match graph features with calculus/algebra concepts. Write the letter in the blank.
Let a, b, and c be constants. Each of the following parts are independent.
1.
f(a) does not exist and lim f(x) = to
x-a
2.
f(0) = a
3.
lim f(x) = b
4.
f(c) = 0
5.
f(a) does not exist and lim f(x) = b
6.
f"(x) > 0 on an interval I
f'(x) > 0 on an interval I
The restriction of f (x) is x 2 a.
7.
8.
b = lim f(x) # lim f(x) = c
X-a
9.
f'(b) = 0 and f'(x) > 0 for x < b and f'(x) < 0 for x > b.
10.
11.
f"(a) = 0 and f"(x) > 0 for x < a and f"(x) < 0 for x > a
f'(b) does not exist and f'(x) < 0 for x < b and f'(x) > O for x > b
f'(c) = 0 and f"(c) > 0
f'(x) < O for all x in the domain of f(x).
12.
13.
14.
Transcribed Image Text:Match graph features with calculus/algebra concepts. Write the letter in the blank. Let a, b, and c be constants. Each of the following parts are independent. 1. f(a) does not exist and lim f(x) = to x-a 2. f(0) = a 3. lim f(x) = b 4. f(c) = 0 5. f(a) does not exist and lim f(x) = b 6. f"(x) > 0 on an interval I f'(x) > 0 on an interval I The restriction of f (x) is x 2 a. 7. 8. b = lim f(x) # lim f(x) = c X-a 9. f'(b) = 0 and f'(x) > 0 for x < b and f'(x) < 0 for x > b. 10. 11. f"(a) = 0 and f"(x) > 0 for x < a and f"(x) < 0 for x > a f'(b) does not exist and f'(x) < 0 for x < b and f'(x) > O for x > b f'(c) = 0 and f"(c) > 0 f'(x) < O for all x in the domain of f(x). 12. 13. 14.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Knowledge Booster
Fractions
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.
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