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.
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...
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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
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.
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