FULL CHAPTERS TESTBANK For Calculus Early Transcendentals Single Variable 12th Edition Howard Anton

,1. The function f(x) is shown in the graph:




Find
A) 2 B) –3 C) 3 D) -2 E) 0
Ans: B
Difficulty: Easy
Section: 1.1




Page 1

, Chapter 1 section 1


2. Answer true or false. For the function graphed




is undefined
Ans: False
Difficulty: Easy
Section: 1.1

3. Approximate the

by evaluating

at x = 4.5, 4.9, 4.99, 4.999, 5.5, 5.1, 5.01, and 5.001.
A) 5 B) 2.5 C) 11 D) 10 E) 12
Ans: D
Difficulty: Medium
Section: 1.1


4. Answer true or false. If and then
Ans: False
Difficulty: Easy
Section: 1.1




Page 2

, Chapter 1 section 1




5. Approximate the by evaluating at appropriate values of x.
A) 1 B) 0 C) D) E) 12
Ans: C
Difficulty: Easy
Section: 1.1


6. Approximate the limit by evaluating at appropriate values of x.
A) 1 B) 9 C) –9 D) E) undefined
Ans: B
Difficulty: Medium
Section: 1.1


7. Approximate the limit by evaluating at appropriate values of x.

A) 1 B) -9 C) D) E) undefined
Ans: C
Difficulty: Medium
Section: 1.1



8. Approximate the limit by evaluating at appropriate values of x.




A) B) C) D) 0 E)
Ans: A
Difficulty: Medium
Section: 1.1


9. Approximate the horizontal asymptote of .
A) -8 B) 8 C) -11 D) 2 E) 11
Ans: C
Difficulty: Medium
Section: 1.1




Page 3

, Chapter 1 section 1




10.
A) 35 B) C) 0 D) It does not exist E) 7
Ans: E
Difficulty: Hard
Section: 1.1

11. Find the equation of the tangent line to the graph of y = 3x5 at (-1, –3).
A) y = 15x + 12 B) y = 15x C) y = 12x D) y = 12x + 15 E) y = 5x +
12
Ans: A
Difficulty: Hard
Section: 1.1

12. For the function f graphed here




,

find
Ans: Does not exist
Difficulty: Easy
Section: 1.1




Page 4

, Chapter 1 section 1


13. For the function graphed here




Find .
Ans: +
Difficulty: Easy
Section: 1.1

14. For the function h graphed here




find
Ans: –2
Difficulty: Easy
Section: 1.1




Page 5

, Chapter 1 section 1


15. For the function g graphed here,




find and identify the function.
Ans: -
g(x) = tan x
Difficulty: Easy
Section: 1.1

16. Consider the function f graphed here:




For what values of a does exist?
Ans:
Difficulty: Medium
Section: 1.1



Page 6

, Chapter 1 section 1


17. For the function graphed here




Find .
Ans: 0
Difficulty: Easy
Section: 1.1

18. Consider the function f graphed here:




For what values of a does not exist?

Ans: or , for n = 1, 2, 3, ...
Difficulty: Medium
Section: 1.1




Page 7

, Chapter 1 section 1


19. Consider the function f graphed here:




For what values of a does exist?
Ans:
Difficulty: Medium
Section: 1.1


20. Approximate by evaluating –5x4 at appropriate values of x.
Ans:
x –5x4
2.5 –195.31
2.9 –353.640
2.99 –399.627
3.01 –410.427
3.1 –461.760
3.5 –750.31
The limit is –405
Difficulty: Medium
Section: 1.1


21. Approximate by evaluating at appropriate values of x.
Ans:
x 2x
sin x
4.5 –9.2069
4.9 –9.9750
4.99 –10.3773
5.001 –10.4335
4.999 –10.4232
5.01 –10.4807



Page 8

, Chapter 1 section 1


5.1 –11.0173
5.5 –15.5909
The limit is –10.4284
Difficulty: Hard
Section: 1.1


22. Use the substitution to express the limit as an equivalent limit in which t  0+.




Ans:
Difficulty: Hard
Section: 1.1




Page 9