MTH 111 Even Homework Answers:

Chapter 1

Section 1.1

6. Range

8. Image

10. False, every function is a relation, but not every relation is a function. For example, the relation is not a function.

12. True

14. False; the domain of is

92. Let represent the number of items sold. The function for the gross salary is:

Section 1.2

4.

6. False; it would fail the vertical line test.

8. True

34. a.

b.

c.

d. The domain is

e. The graph is curved down and rises slowly at first. As production increases, the graph

becomes rises more quickly and changes to being curved up.

f. The inflection point is where the graph changes from being curved down to being

curved up.

44. a. (7, 7.4)

b. (4.2, 6)

c. Between 0 and 2 minutes, Michael’s speed increased from 0 to 30 miles/hour.

d. Between 4.2 and 6 minutes, Michael was stopped (i.e. his speed was 0 miles/hour).

e. Between 7 and 7.4 minutes, Michael was traveling at a steady rate of 50 miles/hour.

f. (2, 4), (4.2, 6), (7, 7.4), and (7.6, 8)

Section 1.3

6. increasing

8. absolute maximum

10. y-axis

12. No, it is increasing

14. Yes

16. is increasing on the intervals

18. No. There is a local maximum at ; the local minimum is 0.

20. has local minima at and The local minima are -4,0 and 0, respectively.

76. a. The concentration will be highest after about 2.16 hours.

b. After taking the medication, the woman can feed her child within the first 0.71 hours

(42 minutes) or after 4.47 hours (about 4 hours 28 minutes) have elapsed.

Section 1.4

4.

6. True

8. False; the domain and range of the reciprocal function are both the set of real numbers except for 0.

10. A

12. G

14. D

16. H

18.

20.

22.

24.

Section 1.5

2.

4. True

6. True

8. E

10. D

12. A

14. C

16. J

18. K

20.

22.

24.

26.

28.

30.

34. (c); to go from to , we compress horizontally by a factor of 2. Divide the -coordinate of each point on the graph of by 2. Thus, the point (4, 2) would become (2, 2).

56.

Section 1.6

8.

MTH 111 Even Homework Answers:

Chapter 3

Section 3.1

4.

6. The point (5,0) is on the graph and is the x-intercept of

8. touches

12.

14. The value of becomes a larger and larger negative number as becomes a larger and larger positive number.

Section 3.2

10. False, a graph cannot intersect a vertical asymptote.

12. True

56.

Section 3.3

4. Vertical

6. True

52. One possibility:

54. One possibility:

MTH 111 Even Homework Answers:

Chapter

Section 4.1

60.

Section 4.2

6. one-to-one

8.

10. True

Section 4.3

6. exponential function; growth factor; initial value

8. True

10. True

12. 1

14. False

34. A

36. H

38. C

40. G

54.

56.

Section 4.4

4. or

8. True

64. F

66. H

68. C

Section 4.5

2. 1

4.

6.

8. 6

10. False:

12. False:

Section 4.7

8.

44. Her bill will be $215.28 after 6 months.