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Fall PreCal Review

Total questions: 52

Worksheet time: 2hrs 56mins

Name
Class
Date
1.
What is the horizontal asymptote to this function?
a)
y=4
b)
y=0
c)
y=-2
d)
y=1
2.
Where is the removable discontinuity?
a)
x=2
b)
x=2 and x=3
c)
x=-3
d)
x=3
3.
What is/are the vertical asymptote(s)?
a)
x=-2
b)
x=2 and x=3
c)
x=-3
d)
x=3
4.
What is the horizontal asymptote?
a)
y = -4
b)
y = 1
c)
x = 1
d)
y = -6
5.
a)
y = 0
b)
y = 1/2
c)
y = 2
d)
None
6.
log525 = ?
a)
2
b)
5
c)
125
7.
Evaluate.
log34 – log336
a)
1/2
b)
–1/2
c)
2
d)
–2
8.
Expand
a)
log39 - (log3x + log3y)
b)
log39 + log3x + log3y
c)
9 - log3x + log3y
d)
9 - log3x - log3y
9.
 Write the expression as a single logarithm. 
log 6 - log 3 + 2 log 7
a)
log 98
b)
log 78
c)
log 56
d)
log 45
10.

To evaluate a logarithm statement log981, you think "9 to what power is 81".

a)

True, and it's 2

b)

False

11.

Evaluate the log by thinking " 3 to what power is 1/9" so

log3(1/9) =

a)

1/2

b)

2

c)

-2

d)

3

12.

The base of common log is 10. So log 100 = ?

a)

1

b)

2

c)

10

d)

50

13.

What is h(4)?

a)

4

b)

⅕

c)

undefined

d)

⅓

14.

What is h(-4)?

a)

-⅕

b)

−⅓

c)

−5

d)

⅓

15.

Choose all correct expansions.

(There might be more than one.)

a)

lnx − lnex

b)

lnx ÷ lnex

c)

lnx − xlne

d)

lnx − x

16.

At how many points does f(x) = -2?

a)

1

b)

2

c)

4

d)

Not enough information to decide

17.

What is the relative maximum value?

a)

y = 4

b)

y = 2

c)

y = 1

d)

y = -1

18.

What kind of point is (-1,3)?

a)

an absolute maximum

b)

a relative maximum

c)

a vertex point

19.
Identify the increasing interval:
a)
(-∞, 1) U (3, ∞)
b)
(-∞, 4) U (3, ∞)
c)
(-∞, 1) U (0, ∞)
d)
(-5, 4) U (3, 5)
20.
Identify the decreasing interval:
a)
(-∞, 1) U (3, ∞)
b)
(1, 3)
c)
(-∞, 1) U (0, ∞)
d)
(1,4) U (3,0)
21.

On how many intervals is this function decreasing?

a)

none

b)

1

c)

2

d)

3

22.
Given h(x) = 2x
k(x) = x + 10
Find h(k(5))
a)
30
b)
-5
c)
22
d)
8
23.
a)
3
b)
1
c)
4
d)
None of the Above
24.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).
a)
-14
b)
20
c)
6
d)
7
25.
If (x + 3) divides a polynomial function evenly, then which of these is known to be a zero of the polynomial?
a)
x = -3
b)
x = 3
c)
x = 0
d)
cannot be determined
26.
When setting up this synthetic division to divide 2x4 + 3x2 - x + 2 by (x - 1), what number goes into the red circle?
a)
-1
b)
1
c)
2
d)
cannot be determined
27.
Polynomial function f(x) =  x4 - 4x3 + 5x2 - 4x + 4 is known to have a zero of x = 2 with a multiplicity of 2. Does this mean (x - 2) divides the polynomial twice?
a)
yes
b)
no
28.
(x - 2) divides polynomial function
 f(x) =  x4 - 4x3 + 5x2 - 4x + 4 two times.  What numbers should be used to set up the second synthetic division if the goal is to factor f(x)?
a)
1   -4   5   -4   4
b)
1   -2   1   -2
c)
2    -4   2   -4
d)
cannot be determined
29.
(x - 2) divides polynomial function
 f(x) =  x4 - 4x3 + 5x2 - 4x + 4 two times.  Which of these is a complete factorization of f(x)?
a)
(x - 2)2(x - 1)(x + 1)
b)
(x - 2)2 (x + 1)
c)
(x - 2)2(x2 + 1)
d)
cannot be determined
30.
This is the correct end behavior model for the function
y = (x - 2)2(x2 + 1)
a)
true
b)
false
31.
This is the correct end behavior model for the function
y = -2 (x - 2)3(x2 + 1)
a)
true
b)
false
32.
These functions have the same end behavior model: y1 = 3x5 + 2x3 + x - 1    and    y2 = 3x2(2x3 + 4x + 2)
a)
true
b)
false
33.
A polynomial  factors as 
 f(x) =  x3(x + 1)2(x - 4). List the zeros of f(x) and their multiplicity.
a)
0 multiplicity 3, 1 multiplicity 2, -4 multiplicity 1
b)
0 multiplicity 3, -1 multiplicity 2, 4 multiplicity 1
c)
 1 multiplicity 2, -4 multiplicity 1
d)
 -1 multiplicity 2, 4 multiplicity 1
34.
Is this function odd, even, or neither?
a)
odd
b)
even
c)
neither
35.
Is this function odd, even, or neither.
a)
odd
b)
even
c)
neither
36.
Is this function odd, even, or neither?
a)
odd
b)
even
c)
neither
37.

If an even function is translated down 3 units then it

a)

stays even

b)

becomes odd

c)

is neither even nor odd

d)

not enough information to tell

38.
Describe the transformations.
a)
Translate Right 2, Down 4
b)
Translate Left 2, Down 4
c)
Translate Left 2, Up 4
d)
Translate Right 2, Up 4
39.
What is the equation of the function graphed?
a)
f(x) = (x-1)1/2 + 2
b)
f(x) = 3(x-1)1/2
c)
f(x) = 3(x+1)1/2
d)
f(x) = 3(x+1)1/2 + 2
40.

What is the domain?

a)

(-∞, ∞)

b)

(-∞, 0) U (0, ∞)

c)

(-∞, -3) U (3, ∞)

d)

(-∞, -3) U (-3, 3) U (3, ∞)

41.
What value(s) make the expression undefined?
a)
x = - 3 and x = 4
b)
x = 3 and x = - 4
c)
x = 3 only
d)
x = - 4 only
42.

Can you multiply a 3 x 4 matrix with a 4 x 2 matrix?

a)

Yes

b)

No

43.

Identify which statement is valid:

a)

A and C can be added

b)

A can be subtracted from C

c)

A (first) can multiply C (second)

d)

C (first) can multiply A (second)

44.
Find the product.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3
45.
Which of the following equations could be used to solve:
y = x2 + 3x - 5
y = x + 3
a)
x2 - 3x + 5 = x - 3
b)
x2 + 3x - 5 = x + 3
c)
x2 + 3x - 5 + x + 3 = 0
d)
x2 + 3x - 5 = 0
46.

Determine if the point (2,0) is a solution to the following system:

y=2x - 4

y=x2 - 4

a)

Yes, because it works in one equation.

b)

Yes, because it works in the both equations.

c)

No, because it works in neither equation.

d)

No, because it works in only one equation.

47.
Solve using elimination. 
a)
no solution
b)
(2,3), (2, -3), (-2,3), and (-2,-3)
c)
(3,5), (-3,-5), (3, -5), and (-3,5)
d)
(2,3), (-2,-3), (3,5), and (-3,-5)
48.
Find A-B
a)
-3     1
7     -1
b)
1     0
1     -4
c)
-4       0
6     -1
d)
not possible because rows do not match columns
49.
Find the product of the matrices.
a)
A
b)
B
c)
C
d)
D
50.
9x=3x-6
a)
x=5
b)
x=-6
c)
x=0
d)
x=Does Not Exist
51.
ln(9x-2)=ln(x+14)
a)
x=2
b)
x=.156
c)
x=-3
d)
x=0
52.
Solve log(x) + log(x+3) = 1
a)
5
b)
-2
c)
-5
d)
2

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