# Tag Archives: midterm

# Critical vocabulary for midterm

**Can you define all these terms? Doing so should be excellent practice for the exam, as well as a chance to review topics we’ve focused on over the past six weeks.**

*Exponential function*

*Logarithmic function*

*Exponential growth rate*

*Exponential decay rate*

# Solutions to Midterm Exam Review

1. 3

2. -2

3. -4

4. 4

5. 2

6. 3

7. 0

8. 3

9. 2

10. 0

11.

12. -48

13.

14.

15.

16.

17. x<-1

18.

19. x=5

20. x=2

21.

22. x=(3,103)

23. x=(1.5,5)

25. x=8

26.

27.

28.

29.

30.

31.

32. x=1

33. hours

34.

35.

36. Logarithmic scales allow us to express a huge range of intensity using manageable numbers.

37. is larger because , which is less than 9, and , which is greater than 30. So must be more than 3 and must be less than 3.

40. a. Rational functions can have vertical asymptotes, horizontal asymptotes, slant asymptotes, and curvilinear asymptotes.

b. All exponential functions have horizontal asymptotes but no other asymptotes.

c. All logarithmic functions have vertical asymptotes but no other asymptotes.

43. Horizontal asymptote at y=2. Vertical asymptotes at x=2 and x=-3.

46. Horizontal asymptote at y=-4. Vertical asymptotes at x=2 and x=-2.