5. This is the graph of h. What is the reasonable estimate for the limit of h at x = 3? A. 2 В. 3 C. a=4 D. Does not exist 6. This is the graph of f. What is the reasonable estimate for the limit of f at x = 6? (Refer to Figure 2) А. -2 В. -3 С. 4 Does not exist

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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5. This is the graph of h. What is the reasonable estimate for the limit of h at x = 3?
А. 2
В. 3
С. а-4
D. Does not exist
6. This is the graph of f. What is the reasonable estimate for the limit of f
at x = 6? (Refer to Figure 2)
В. -3
А. -2
С. 4
D. Does not exist
432
For Numbers 7-10. Consider the graph of f below.
y = f(x)
2-
7. What is lim f(x)?
X+ 1
A. 0
В. 1
С. 2
D. Does not exist
8. What is lim f(x)?
X+ 2
A. 0
В. 1
C. 2
D. Does not exist
Transcribed Image Text:5. This is the graph of h. What is the reasonable estimate for the limit of h at x = 3? А. 2 В. 3 С. а-4 D. Does not exist 6. This is the graph of f. What is the reasonable estimate for the limit of f at x = 6? (Refer to Figure 2) В. -3 А. -2 С. 4 D. Does not exist 432 For Numbers 7-10. Consider the graph of f below. y = f(x) 2- 7. What is lim f(x)? X+ 1 A. 0 В. 1 С. 2 D. Does not exist 8. What is lim f(x)? X+ 2 A. 0 В. 1 C. 2 D. Does not exist
9. What is lim f(x)?
A. 0
B. 1
С.2
D. Does not exist
10. What is lim f(x)
D. Does not exist
A. 0
11. What are the conditions to satisfy continuity at a point?
i. f(c) exists
ii. lim f(x) exists
В. 1
C. 2
ili. lim f(c) exists
iv. f(c) = lim f(x) exists
A. I, ii, i
B. I, ii, iv
C. ii, ii, iv
D. I, ii, ii, iv
12. Which of the following statements show continuity of polynomial functions?
A. A polynomial function is continuous at every real number, that is, it is continuous
everywhere.
B. A polynomial function is not continuous at every real number, that is, it is
continuous everywhere.
A polynomial function is continuous at every real number, that is, it is not
continuous everywhere.
D. A polynomial function is continuous at every real number, that is, it is
discontinuous everywhere.
13. What line touches a curve at one point?
A. derivative B. normal
C. secant
D. tangent
14. If f(x) = 2x - 1, what is f(x+ h) - f(x)?
A. 2(x + h) - 1
В. 2(х + h) - 1 — (2х — 1)
15. If f(x) = 2x - 1, what is
с. (2х + h) - 1- (2х — 1)
D. 2(x + h) – 1 – 2(x – 1)
f(x+h)-f(x),
A.
B.
С. 2h
D. 2
f(x+h)-f(x),
16. If f(x) = 2x 1, what is lim
エ→h
B. -
17-18. Find f'(x) if f(x) = x2 + 2x – 5.
B. 2x + 2
A. =
C. -2
D. 2
%3D
A. 2x
C. -2x
D. 2x -5
19-20. What is the slope of the line tangent tof(x) = 2 - x2 at x = 1?
C. 2
A. -2
B. 0
D. 4
Transcribed Image Text:9. What is lim f(x)? A. 0 B. 1 С.2 D. Does not exist 10. What is lim f(x) D. Does not exist A. 0 11. What are the conditions to satisfy continuity at a point? i. f(c) exists ii. lim f(x) exists В. 1 C. 2 ili. lim f(c) exists iv. f(c) = lim f(x) exists A. I, ii, i B. I, ii, iv C. ii, ii, iv D. I, ii, ii, iv 12. Which of the following statements show continuity of polynomial functions? A. A polynomial function is continuous at every real number, that is, it is continuous everywhere. B. A polynomial function is not continuous at every real number, that is, it is continuous everywhere. A polynomial function is continuous at every real number, that is, it is not continuous everywhere. D. A polynomial function is continuous at every real number, that is, it is discontinuous everywhere. 13. What line touches a curve at one point? A. derivative B. normal C. secant D. tangent 14. If f(x) = 2x - 1, what is f(x+ h) - f(x)? A. 2(x + h) - 1 В. 2(х + h) - 1 — (2х — 1) 15. If f(x) = 2x - 1, what is с. (2х + h) - 1- (2х — 1) D. 2(x + h) – 1 – 2(x – 1) f(x+h)-f(x), A. B. С. 2h D. 2 f(x+h)-f(x), 16. If f(x) = 2x 1, what is lim エ→h B. - 17-18. Find f'(x) if f(x) = x2 + 2x – 5. B. 2x + 2 A. = C. -2 D. 2 %3D A. 2x C. -2x D. 2x -5 19-20. What is the slope of the line tangent tof(x) = 2 - x2 at x = 1? C. 2 A. -2 B. 0 D. 4
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Jay Abramson
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