5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book May 7, 2018 9:52

104 STEP 4. Review the Knowledge You Need to Score High

18. Givenf(x) as shown in Figure 6.5-2, find
    (a) f(3).
    (b) limx→ 3 +f(x).
    (c) limx→ 3 −f(x).
    (d) limx→ 3 f(x).
    (e) Is f(x) continuous atx=3? Explain
    why or why not.

[–2, 8] by [–4, 7]

Figure 6.5-2

19. A function fis continuous on [−2, 2], and
    some of the values off are shown below:

x − 2 0 2

f(x) 3 b 4

If fhas only one root,r, on the closed

interval [−2, 2], andr=0, then a possible

value ofbis

(A) − 2 (B) − 1 (C) 0 (D) 1

20. Evaluate limx→ 0
    1 −cosx
    sin^2 x

.

6.6 Cumulative Review Problems

21. Write an equation of the line passing
    through the point (2,−4) and
    perpendicular to the line 3x− 2 y=6.


22. The graph of a functionf is shown in
    Figure 6.6-1. Which of the following
    statements is/are true?

I. limx→ 4 −f(x)=3.

II.x=4 is not in the domain of f.

III. limx→ 4 f(x) does not exist.

23. Evaluate limx→ 0
    | 3 x− 4 |
    x− 2

.

24. Find limx→ 0
    tanx
    x

.

25. Find the horizontal and vertical
    asymptotes off(x)=
    x
    √
    x^2 + 4

.

8 7 6 5 4 3 2 1

0123456789

y

x

f

Figure 6.6-1