For questions 9-10, use the following function: (z+1 z≤0 sinz r>0 9. lim f(2)= 2-10- (A.) ∞ (B.) sin(1) (C.) -∞ (D.) 1 (E.) 0 D. lim f(z) = 2-0 f(x) = 2²-1-6 2-31²-31 11. lim (A.) (B.) 0 (C.) 1 (D.) - (E.) The limit does not exist 12. lim √x+1-2 1-3 (A.) (B.) 1 (C.) 0 (D.) (E.) The limit does not exist

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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This is my practice exam. All the answers have been posted, I will also post them in order. But my professor did not put how she got them, and I need help with that. Thanks!

9- D

10- E

11- A

12- D

13- E

14- A

15- A

16-E

17-C

 

 

14. Several potential graphs of a function f are shown below. Select the graph that
satisfies all of the following properties:
● lim f(x) = = ∞
x48
(A.)
lim f(x) = 3
● lim f(x) =
x→1
(C.)
81个”
=18
4
3
2
10
-5- -3-2-1
-2-1
-2
do
4
2
10
-5-4-3-2-1
-2
-3
2 3 4 5
1 2 3 4 5
(B.)
Page 7 of 15
Version A
(D.)
(E.) None of the graphs satisfy all three properties.
3
2
1
-5-4-3-2-1
-2
4
3
1
-5-4-3-2-1
-2
-3
1 2 3 4 5
2 3 4 5
Page 8 of 16
2x²+2
x→1- x²
- 1
(A.)
(B.) 2
(C.) ∞
(D.) 0
(E.) -1
15. lim
16. lim
-∞
∞-←x
17. lim
x →∞
(A.) 2
(B.) -2
(C.) 0
(D.) -8
(E.) ∞
6x³
15x
-x² - x + 10
1- x² -
(B.) -
(A.) ∞
(C.) -
(D.) 1
(E.) 0
-8
-
x³ + 24
·x³
-1
Page 8 of 15
Version A
Transcribed Image Text:14. Several potential graphs of a function f are shown below. Select the graph that satisfies all of the following properties: ● lim f(x) = = ∞ x48 (A.) lim f(x) = 3 ● lim f(x) = x→1 (C.) 81个” =18 4 3 2 10 -5- -3-2-1 -2-1 -2 do 4 2 10 -5-4-3-2-1 -2 -3 2 3 4 5 1 2 3 4 5 (B.) Page 7 of 15 Version A (D.) (E.) None of the graphs satisfy all three properties. 3 2 1 -5-4-3-2-1 -2 4 3 1 -5-4-3-2-1 -2 -3 1 2 3 4 5 2 3 4 5 Page 8 of 16 2x²+2 x→1- x² - 1 (A.) (B.) 2 (C.) ∞ (D.) 0 (E.) -1 15. lim 16. lim -∞ ∞-←x 17. lim x →∞ (A.) 2 (B.) -2 (C.) 0 (D.) -8 (E.) ∞ 6x³ 15x -x² - x + 10 1- x² - (B.) - (A.) ∞ (C.) - (D.) 1 (E.) 0 -8 - x³ + 24 ·x³ -1 Page 8 of 15 Version A
For questions 9-10, use the following function:
9. lim f(x) =
-0←x
(A.) ∞
(B.) sin(1)
(C.) -
(D.) 1
(E.) 0
-X
10. lim f(x) =
x→0
f(x) =
(A.) 2
(B.) sin(1)
(C.) 1
(D.) 0
(E.) The limit does not exist
x+1
sin x
Page 5 of 15
Version A
x ≤0
x > 0
Page 6 of 16
11. lim
x 3
x² - X - 6
x² – 3x
(A.)
2013
12. lim
x-3
5
(B.) 0
(C.) 1
7
(D.)
3
(E.) The limit does not exist
√x+1-2
x - 3
12
(A.)
(B.) 1
(C.) 0
(D.) /
4
(E.) The limit does not exist
13. lim √x –
x 2
(A.) ∞
(B.) 1
(C.) 2
(D.)
(E.) 0
-8
¹(₂²-₂)] =
2x.
- 2 sin
Page 6 of 15
Version A
Transcribed Image Text:For questions 9-10, use the following function: 9. lim f(x) = -0←x (A.) ∞ (B.) sin(1) (C.) - (D.) 1 (E.) 0 -X 10. lim f(x) = x→0 f(x) = (A.) 2 (B.) sin(1) (C.) 1 (D.) 0 (E.) The limit does not exist x+1 sin x Page 5 of 15 Version A x ≤0 x > 0 Page 6 of 16 11. lim x 3 x² - X - 6 x² – 3x (A.) 2013 12. lim x-3 5 (B.) 0 (C.) 1 7 (D.) 3 (E.) The limit does not exist √x+1-2 x - 3 12 (A.) (B.) 1 (C.) 0 (D.) / 4 (E.) The limit does not exist 13. lim √x – x 2 (A.) ∞ (B.) 1 (C.) 2 (D.) (E.) 0 -8 ¹(₂²-₂)] = 2x. - 2 sin Page 6 of 15 Version A
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