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05-07 No Calculator

Total questions: 40

Worksheet time: 43mins

Name
Class
Date
1.

Rewrite u = logvn in exponential form.

a)

vu = n

b)

nu = v

c)

vn = u

d)

un = v

2.
a)

A

b)

B

c)

C

d)

D

3.

This is an example of ... ?

a)

domain and range of rational functions

b)

domain and range of exponential functions

c)

domain and range of cubic functions

d)

domain and range of inverse functions

4.

This is an example of ... ?

a)

domain and range of exponential functions

b)

domain and range of logarithmic functions

c)

domain and range of rational functions

d)

domain and range of cubic functions

5.

What should you think first?

a)

y = k ⋅ x

b)

x ⋅ y = k

c)

y = x / k

d)

Bush did 9/11

6.

This is an example of ... ?

a)

inverse of exponential functions

b)

inverse of rational functions

c)

inverse of cubic functions

d)

inverse of square root functions

7.

What are the domain and range?

a)

domain: (-∞, 3]

range: (-∞, ∞)

b)

domain: [3, ∞)

range: (-∞, ∞)

c)

domain: (-∞, ∞)

range: [-1, ∞)

d)

domain: (-∞, ∞)

range: (-∞, ∞)

8.
Where is the first error?
a)
line 2
b)
line 4
c)
line 6
d)
no mistake
9.
Where is the first error?
a)
line 2
b)
line 3
c)
line 6
d)
no mistake
10.
Where is the first error?
a)
line 2
b)
line 4
c)
line 6
d)
no mistake
11.

Where is the first error?

a)

Step 1

b)

Step 2

c)

Step 3

d)

No error!

12.

Where is the first error?

a)

Step 2

b)

Step 3

c)

Step 4

d)

No error!

13.

What are the domain and range of the function y=2x ?

a)

Domain: (−∞, ∞)

Range: (0, ∞)

b)

Domain: (−∞, ∞)

Range: (−∞, 0)

c)

Domain: (−∞, 0)

Range: (−∞, ∞)

d)

Domain: (0, ∞)

Range: (−∞, ∞)

14.
f(x) = 2x
g(x) = f(x+1)
a)
Horizontal shift left one unit
b)
Horizontal shift right one unit
c)
Vertical shift up one unit
d)
Vertical shift down one unit
15.
f(x) = ex
g(x) = -5 f(x)
a)
reflect over x-axis, vertical stretch
b)
reflect over x-axis, vertical compress
c)
reflect over y-axis, vertical stretch
d)
reflect over y-axis, vertical compress
16.
f(x) = 10x
g(x) = f(x)+1
a)
Horizontal shift left one unit
b)
Horizontal shift right one unit
c)
Vertical shift up one unit
d)
Vertical shift down one unit
17.
Why did the chicken cross the playground?
a)
To get to the other slide!
b)
-
18.

log525 =

a)

2

b)

5

c)

15

d)

20

19.
34 = 81 in logarithmic form
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
20.
logpt = m in exponential form
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
21.

log28 =

a)

4

b)

256

c)

16

d)

3

22.
log636 = 2 in exponential form
a)
62 = 36
b)
26 = 36
c)
236 = 6
d)
362 = 6
23.

The inverse has been reflected over which line?

a)

y = x

b)

undefined

c)

y = 0

d)

x = 0

24.

The graph of f(x) is shown. What is the domain of f-1(x)?

a)

all real numbers

b)

y < -3

c)

y > -3

d)

no

25.

The graph of f(x) is shown. What is the range of f-1(x)?

a)

all real numbers

b)

y < -3

c)

y > -3

d)

yes

26.

Which best describes the two tables?

a)

They are both functions, but not inverse.

b)

They are inverse functions.

c)

They are inverse, but not functions.

d)

They are neither inverse nor functions.

27.

Which is f-1(x)?

a)

(-8, -2) (-1, -1) (0, 0) (1, 1) (8, 2)

b)

(2, 8) (1, 1) (0, 0) (-1, -1) (-2, -8)

c)

(-2, -8) (-1, -1) (0, 0) (1, 1) (2, 8)

d)

(2, 8) (1, 1) (0, 0) (1, 1) (2, 8)

28.
Why did the duck cross the road?
a)
It was the chicken's day off!
b)
-
29.

log(100) =

a)

10

b)

1

c)

5

d)

2

30.

Change to Logarithmic Form:

5 = 1/3(e)x+1 - 2

a)

ln(x+1) = 21

b)

ln(21) = x + 1

c)

ln(x+1) = 17

d)

ln(17) = x + 1

31.

Rewrite 3 = log28 in exponential form.

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2

32.

Rewrite 5logp(8) + 20 = 10x in exponential form.

a)

p2x - 4 = 8

b)

p10x = 4

c)

p10x - 20 = 40

d)

5(p)10x = 28

33.

Which one is the doggy?

a)
b)
c)
d)
34.
Jason started baseball practice Saturday afternoon at the time shown on the clock. Practice ended at 4:25 p.m. How many minutes did Jason's baseball practice last?
a)
15
b)
25
c)
35
d)
45
35.

Which is NOT equivalent to (3+5)(6-4)?

a)

(8)(2)

b)

18 - 12 + 30 - 20

c)

3(2) + 5(2)

d)

8(6) - 8(-4)

36.

Which is NOT equivalent to 7(10 - 3)?

a)

70 - 21

b)

7(10 - 2 + 1)

c)

72

d)

7+7+7+7+7+7+7

37.

Which is NOT equivalent to 3(2)4-1+2?

a)

3(2)3+2

b)

3(2)5

c)

65

d)

3(2)(2)(2)(2)(2)

38.

Which is equivalent to 5(6 - 4)3?

a)

(30 - 20)3

b)

5(63 - 43)

c)

103

d)

5(8)

39.

Giggles vary inversely as wiggles, when diggles are constant. Which equation represents this relation?

a)

g = d ⋅ w

b)

w = d ⋅ g

c)

g = w / d

d)

w = d / g

40.

Gags vary inversely as dags, when wags are constant. Which equation represents this relation?

a)

g = d ⋅ w

b)

w = d ⋅ g

c)

g = d / w

d)

w = d / g

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