REVIEW OF FACTORING
Terms Name Example Problem to Trz
Two Common Factor 3x2 + 15x 24a2b 4ab
3X(x + 5)
Sum of 2 Squares 25x2 + 16 is prime cannot factor
Difference 2 Squares 5x2 45 4X2 16
5(x2 9)
5(X+ 3)(X 3)
Sum of 2 Cubes 8x3 + 27 = (2x)3 + 33 x5 + x

REVIEW OF COMPLEX NUMBERS
1 is not a real number since nothing squared gives you 1 but . . .
imagine a number that when squared gives you 1, call it i so
1,
i2 1 or i =
49
49 1
49
called an imaginary unit
1 7i ;
3
3 1
Product/Quotient Rule for i

MAC 1147
Spring 2016
TR Wk. #1-2 (Pre)
1.3-1.5
Name:
_
1)
Write in your own words what it means for a function to be increasing,
decreasing, or constant.
2)
For the function graphed here write:
Intervals of x where f is:
Increasing:
_
Decreasing:
_
Ordere

MAC 1147
Spring 2016
1)
2)
3)
TR Wk. #2-1 (Pre)
1.6-1.8
Name:
_
Explain, using the words shifts # units up or down, shifts # units right or
left, or reflects about the x-axis or y-axis to answer the following.
a)
How is the graph of f(x - 7) different fro

MAC 1147
Spring 2016
1)
2)
3)
TR Wk. #2-2 (Pre)
1.9-2.2
Name:
_
Given points (2,3) and (-1,2):
a)
Find the distance between these two points.
b)
Find the midpoint of these two points.
c)
If these two points were the endpoints of the diameter of a circle,

CHAPTER 1 FUNCTIONS AND GRAPHS
(These are things you should already know)
1.1
Ordered Pair: (1,5)
1st number is x coordinate
2nd number is y coordinate
Solution to equation if equation is satisfied (made true)
Graph of an equation:
set of all ordered pair

QUADRATIC EQUATIONS:
ZERO-FACTOR PROPERTY
ax2 + bx + c = 0, a 0
Factor, set each factor = 0, solve
Examples:
If x27x+6=0, then (x6)(x1)=0 so x6=0 and x-1=0 so x=6 and x=1
If 2x2-x-3=0, then (2x-3)(x+1)=0 so 2x-3=0 and x+1=0 so x=3/2,-1
THE SQUARE ROOT PRO