FACTORING
1. Factor, 16ab - 24bc - 8b
(a) 2(8ab-12bc-4b)
(b) 4(4ab-6bc-b)
(c) 8b(2a-3c)
(d) 8b(2a-3c-1)
2. Factor, x2- x- 30
(a) (x-5)(x+6)
(b) (x+10)(x+3)
(c) (x-6)(x+5)
(d) (x-10)(x+3)
3. Factor, 3x2- x- 4
(a) (3x-4)(x+1)
(b) (3x+4)(x+1)
(c) (3x-4)(x-1)
(d) (3x+4)(x-1)
4. Factor, x2 -5x
(a) (x-3)(x+2)
(b) (x-3)(x+3)
(c) x(x+5)
(d) x(x-5)
5. Factor 4x2 +10x -24
(a) (4x -6)(x+4)
(b) 2x(2x -7)
(c) 2(2x -3)(x+4)
(d) 2(2x+3)(x -4)
PARENT FUNCTIONS
1. What is the range of, f(x) =x ?
(a) (0,)
(b) (-,)
(c) [1,)
(d) [0,)
2. The domain of x is:
(a) (-,)
(b) (0,)
(c) [0,)
(d) [1,)
3. A point that is on the function sinx is:
(a) (0,1)
(b) (1,0)
(c) (π,0)
(d) None of these
4. Which of the following has a domain of (-,0)  (0,) ?
x
(a) e
(b) logx
(c) x
(d) 1/x
5. The point (0,1) is on the function,
(a) Lnx
(b) x
(c) 1/x
(d) cosx
RADICAL EQUATIONS:
1)
+5=7
a) 1
b) -1
c) 2
d) 7
2)
=x–4
a) -4
b) 0
c) 4
d) 16
3)
-1=0
a) 2
b) -1/2
c) 1
d) 0
4)
a) 11
b) 5
c) 0
d) 22
-5=0
5)
= 12
a) 50
b) 12
c) 6
d) 60
2-SIDED INEQUALITIES
1) 3(x-1) + 2(x-1) ≤ 7x+7
a) 2 ≥ x
b) x ≤ 4
c) x ≥ 6
d) x ≥ -6
2) 5x-4
6x+7
a) x
11
b) x
-11
c) x
28
d) 24
3) 2-5x ≤ 7
a) x = 5
b) x ≥ -1
c) x ≤ -1
d) none of the above
4) 4x+8
a) x
-13
b) x
13
-48
c) x
d) x
-14
5) 6x-1 ≤ 3 x +4
a) x ≤ 2.5
b) x ≤ 5
c) x ≤ 2
d) x ≤ -2
Difference Quotient
1) The Difference quotient of f(x)=5x-8 is
A. 10x-11
B. 5
C.
D. 5x-16
2) What is the domain of question #1?
A. (- ,5) U (5,
)
B. (-
,
)
C. (-5,5)
D. [-5,0]
3) The formula of the Difference Quotient is?
A. DQ=
B. DQ=
C. DQ=
D. DQ=
4) F(x) =
A.
, what is f(x+h)?
B.
C.
D.
5) What is the Difference quotient of
A. 2
B.
C.
D.
Domain and Range
1) What is the range of
A. (-1.5,1.5)
?
B. [-1,1]
C. (0,3]
D. [-3,3]
2) What is the domain of
A. (-
?
B. [-4,4]
C. (D. (3) The domain of
A. [0,
is?
B. (C. (D. (4) What is the range of
A. (B. (C. (0,
D. [0,
?
5) What the graph of
is reflected over the y-axis, what is it’s domain and range?
A. D: (0,
R: [0,
B. D: (-
R: (0,
C. D: (-
R: [0,
D. D: (-
R: (-
Trig Identities
1. What is (cosx)(tanx) - cos^2x?
Sinx
a. Secx
b. Cot^2x
c. Cosx
d. Sin^2x
2. What is (tan^2x)(cos^2x) + 1 –sin^2x?
a. Tanx
b. 1
c. 0
d. Cot^2x
3. What is the formula for sin(a+b)?
a. Sin(a)Cos(b) + Cos(a)Sin(b)
b. Sin(a)Sin(b) + Cos(a)Cos(b)
c. Cos(a)Cos(b) – Sin(a)Sin(b)
d. Cos(a)Cos(b) + Sin(a)Sin(b)
4. Which pair is correctly matched up?
a. Sin^2x + Cos^2x = o
b. Tanx = cosx
Sinx
c. Cotx = sinx
Cosx
d. Sin^2x + Cos^2x = 1
5. What is sin^2x + cos^2x – sec^2x + tan^2x?
a. 1
b. 0
c. Cot^2x
d. Sec^2x
Evaluating Functions
1. Given f(x) = 4x^3 –x^2 +7. Find f(6)
a. 835
b. 694
c. 437
d. 741
2. What is the correct formula for the difference quotient?
a. f(x+h) – f(x)
h
b. f(x+h) +f(x)
h
c. f(x-h) – f(x)
h
d. f(x-h) = f(x)
h
3. Using the difference quotient find the difference of f(x) = 2x-5.
a. 2h
b. h
c. h
2
d. 2
4. Using the difference quotient find the difference of f(x) = x^2-8.
a. 2x-h
b. 2h-x
c. h+2x
d. 2x
H
5. What is the correct form of(x+h)^2?
a. x^2 +2hx + h^2
b. x^2 +2xh + h^2
c. (x+h)(x+h)
d. (x+h)(h+x)
X/Y Intercepts
1. Which of the following equations has an x-intercept of (5,0)
a)
c)
b)
d)
2. The x-intercepts of the equation
are
a) (7,0) and (-7,0)
b) (7,0) and (0,0)
c) (-7,0) and (2,0)
d) (-7,0) and (0,0)
3. If the y-intercept of an equation is the origin, than one of the x-intercepts of the equation must
be
a) (0,0)
b) (0,1)
4. The equations
a) The same X-intercepts
b) The same Y-intercept
c) (1,0)
d) (-1,0)
and
have
c) Neither the same X or Y intercepts
d) Both the same X and Y intercepts
5. Which of the following equations does not have an x-intercept
a)
c)
b)
d)
Increasing/Decreasing Intervals
Using the following graph, answer questions 1-3.
1.
is increasing on the interval
a) (-
c)
b) (2,
)
2. On the interval (a) Increasing
b) Decreasing
3.
d) (0,
,
is
c) Constant
d) Linear
is decreasing on the interval
a) (b) (2,
c)
)
d) (0,
Use the following graph to answer questions 4 and 5
4. The function
is constant on the interval
a) (3,
c) (2,3)
b) (-5,
d) (-5,2
5. On the interval (2,
,
is
a) Increasing, only
b) Decreasing, then increasing
c) Constant, then increasing
d) Decreasing, only
Even, Odd, Neither Questions

1) If given the points (3,3),(1,0),(0,2),(1,0),(3,3) , after being graphed on a coordinate plane
what type of function would be represented?
A) Even

B) Odd
C) Neither
D) Line y=x
E) None of the above
2) The graph of an odd function whose degree is 3 has symmetry with respect to the:
A) Y-Axis
B) X-Axis
C) Origin
D) Line y=3
E) Line y=x
3) Which of the following functions represents an even function that has a degree (n) > 0?
A) f(x) = x3 – 7
B) f(x) = x2 + 1
C) f(x) = 5
D) f(x)= x
E) None of the above
4) The function f(h) = h3 + h2 – 1 has respect to the:
A) Origin
B) Y-Axis
C) X-Axis
D) Line y=x
E) None of the above
5) A graph of a parabola whose turning point is the origin is what type of function:
A) Linear
B) Neither
C) Odd
D) Even
E) None of the above
Relative Extrema
6) Unlike absolute extrema, relative extrema never includes:
A) The origin
B) Negative values
C) Endpoints
D) X-Values
E) None of the above
Use the graph of the function (f) below to answer questions 7-10
7) What is the relative maximum point?
A) (3, 6)
B) (-1, 4)
C) (-3, 5)
D) (0, 0)
E) (6, -4)
8) At what X-Value does the relative minimum occur?
A) -6
B) -2
C) 1
D) 5
E) 6
9) Is there a local maximum at 3? If so what is the local maximum at 3?
A) Yes, 5
B) Yes, 6
C) Yes, -6
D) No, there is no local maximum at 3
E) None of the above
10) Which list shows the correct numbers at which f has a local maximum.
A) -6, -3, 0
B) -3, -1, 1
C) -2, 0, 3
D) -3, -1, 3
E) -2, 1, 6
How to Graph Piecewise Functions Given f(x)
1.
What is the graph for this piecewise function?
2.
Which graph represents the function for the domain 1≤x<1?
3.
Which graph represents the function for the domain x≤2?
4.
Why is this incorrect?
A) x5 is not a function
B) 2x-1 is not a function
C) 2 is in both domains
D) This is actually correct
5.
What do you graph on (4,3)?
A) An open circle
B) A closed circle
C) A horizontal line going through this point
D) A vertical line going through this point
How to Find Piecewise Functions Given Graph
1. What is the piecewise function for the graph below?
A)
B)
C)
D) None of the above
2. Why must we know the formula of a line to create a piecewise function for a graph that includes
sloped lines?
A) To graph more lines
B) To find the slope
C) To find the y-intercept
D) None of the above
Use the graph below for questions 3 and 4.
3. What might be a step used to find B?
A) m=
B) m=
C) 8= (11/7)(-2)+b
D) -3= (11/7)(5)+b
4. What are A and B, respectively?
A) -2 and 11x/7 + 1/7
B) -5 and 7x/11 – 1/7
C) -2 and 7x/11 - 6
D) -5 and 11x/7 + 1/7
5.
What can A, B, and C be, respectively?
A) x<-3 -3≤x≤2
x>2
B) x≤-3 -3<x<2
x≥2
C) x<-3 -3≤x≤2
x>2
D) x≤-3 -3<x≤2
x>2
E) All of the above
Arithmetic with Functions
Given:
f(x)=4x+2
g(x)=x2+4x-2
1. Find (f-g)(x):
(a) x2+4
(c) -x2+4
(b) -x2-4
(d) x2-4
2. Find (f+g)(x):
(a) x2+8
(c) x2-16
(b) x2+16
(d) x2-8
Given:
f(x)=2x+4
g(x)=5x-10
3. Find (fg)(x):
(a) 10x2+40 (c) 7x2-40
(b) 10x2-40 (d) 7x2+5
4. Find (f+g)(x):
(a) 7x+5
(c) -7x+5
(b) -7x-5
(d) 7x-5
5. Find (f-g)(x):
(a) -3x+14 (c) 3x-14
(b) 3x+14 (d) -3x-14
Inverses of Functions
1. What is the inverse of the function f(x)=x-9/4?
(a) x+9/4
(c) 4x-9
(b) –x+9/4
(d) 4x+9
2. f(x)=2x-4 and g(x)=4x-2 are functions
(a) True
(b) False
3. What is the inverse of the function f(x)=x-3?
(a) –x+3
(c)-x-3
(b) x+3
(d)none
4. To determine if functions f and g are inverses of each other, find…
(a) (f+g)(x)
(c)(f/g)(x)
(b) (fg)(x)
(d) none
5. The inverse of f(x)= x-10 is…
(a) –x+10
(c) x+10
(b) –x-10
(d) x-10
Arithmetic with Functions
Given:
f(x)=4x+2
g(x)=x2+4x-2
1. Find (f-g)(x):
(a) x2+4
(c) -x2+4
(b) -x2-4
(d) x2-4
2. Find (f+g)(x):
(c) x2+8
(c) x2-16
(d) x2+16
(d) x2-8
Given:
f(x)=2x+4
g(x)=5x-10
3. Find (fg)(x):
(a) 10x2+40 (c) 7x2-40
(b) 10x2-40 (d) 7x2+5
4. Find (f+g)(x):
(c) 7x+5
(c) -7x+5
(d) -7x-5
(d) 7x-5
5. Find (f-g)(x):
(c) -3x+14 (c) 3x-14
(d) 3x+14
(d) -3x-14
Inverses of Functions
6. What is the inverse of the function f(x)=x-9/4?
(c) x+9/4
(c) 4x-9
(d) –x+9/4
(d) 4x+9
7. f(x)=2x-4 and g(x)=4x-2 are functions
(a) True
(b) False
8. What is the inverse of the function f(x)=x-3?
(c) –x+3
(c)-x-3
(d) x+3
(d)none
9. To determine if functions f and g are inverses of each other, find…
(c) (f+g)(x)
(c)(f/g)(x)
(d) (fg)(x)
(d) none
10. The inverse of f(x)= x-10 is…
(c) –x+10
(c) x+10
(d) –x-10
(d) x-10
1. What are the root(s) of (2x-3)^2= x^2-5x+11?
A. 2, 2/6 B. 2 C. 2/6 D. 7+-73/6
2. What is the discriminant of 3x^2-x+7=0?
A. 85 B. –83 C. –85 D. 83
3. What does the answer in #2 tell us about the roots?
A. rational B. Irrational C. Imaginary D. Real
4. What are the roots of x^4+x^2-3=0
A. –1+-13/2 B. –1+-11/2 C. –1+--13/2 D. –1+--11/2
5. Which equation suits these roots, -5+-33/2?
A. x^2+5x-2 B. x^2+5x+2 C. –x^2+5x-2 D. –x^2+5x+2
1. Solve for the roots of Log8 x^2+x-4= 1/3
A. –3, 2 B. The roots are irrational C. –2, 3 D. The roots are imaginary
2. What are the roots of, 3^(x2+2x-1/2) =9^x/2?
A. –1,1 B. –1 C. 1 D. None of the above
3. What is the domain of (9x)^1/2 in interval notation?
A. (-,) B. [0, ) C. {x x} D. All real numbers
4. If 27^(1/3y)= 3, then x^(2/2y) equals what?
A. x B. 3 C. 1 D. Not solvable
5. Simplify into simplest radical form with positive exponents,
(( a1/3)(c-3/5)(3b5))/((a-4/3)(5c3)(b-1/3)).
A. b2 3a5 5c-6 B. (3a5)(b2)/5c6 C. b2/ (3a5)(5c6) D.
15
(abc)25
Trig Exact Values/ Special Right Triangles
1) What is the exact value of sec (2π/3)?
a) 2
c) ½
b)
d) -2
3 /2
2) Which value is equal to the value of sin(210˚)?
a) sin(–π/6)
c) -csc(2π)

b) tan(7π/4)
d) cos(30˚)
e) not shown
e) not shown
3) In right triangle ABC, sides AB and BC are equal to each other. If the sum of these two
sides is 8, what is the value of the hypotenuse?
a) 2 2
c) 4
e) not shown
b) 2
d) 12
4) In right triangle DEF, the measures of the two acute angles form a 2:1 ratio. If the

measure of the hypotenuse is 2, what is the sum of the other two sides?

a) 6
c) 1 + 3
e) not shown
b) 5 2
d) 2 - 3
5) What is the exact value of cot(900˚)?

a) 1
c) 0
 b) 2
 d) -1
e) not shown
Trig Graphs/ Domains and Ranges for Sin and Cos
1) Which of the following points lies on the graph of y = sin(x)?
a) (0, 1)
c) (π/2, 1)
e) not shown
b) (0, -1)
d) (1, π/2)
2) What is the range of the function y = -3cos(x)?
a) (-∞, ∞)
c) (0, 3)
b) (-1, 1)
d) (-3, 3)
e) not shown
3) Which of the following lines is an asymptote on the graph y = tan(x)?
a) x = 3π/2
c) x = 0
e) not shown
b) y = π/2
d) x = 1
4) What is the domain of the graph f(x) = 2sin(x)?
a) (-2, 2)
c) (-1, 1)
b) (-∞, ∞)
d) (0, ∞)
e) not shown
5) What is the amplitude of the graph f(x) = -5cos(x)?
a) -5
c) 1
b) 10
d) -10
e) not shown