Part I: Graphing Functions
Complete the chart. If a characteristic does not exist for a certain function write NA. Do not leave any characteristic
blank. Graph the function given along with its parent function.
Equation: 2x – 3y = 6
Type of Graph:
Parent:
Translation:
Domain:
Range:
Continuous(yes/no):
Zeros:
y-intercept:
Vertex:
Vertical Asymptotes:
Horizontal Asymptotes:
Equation: f(x) = 2x2 – 2x – 4
Type of Graph:
Parent:
Translation:
Domain:
Range:
Continuous(yes/no):
Zeros:
y-intercept:
Vertex:
Vertical Asymptotes:
Horizontal Asymptotes:
Equation: 𝑓(𝑥) = √𝑥 + 2 − 1
Type of Graph:
Parent:
Translation:
Domain:
Range:
Continuous(yes/no):
Zeros:
y-intercept:
Vertex:
Vertical Asymptotes:
Horizontal Asymptotes:
Equation: 𝑓(𝑥) = −2|𝑥 − 1| + 2
Type of Graph:
Parent:
Translation:
Domain:
Range:
Continuous(yes/no):
Zeros:
y-intercept:
Vertex:
Vertical Asymptotes:
Horizontal Asymptotes:
Equation: 𝑓(𝑥) = 2 𝑥+1 − 4
Type of Graph:
Parent:
Translation:
Domain:
Range:
Continuous(yes/no):
Zeros:
y-intercept:
Vertex:
Vertical Asymptotes:
Horizontal Asymptotes:
Equation: 𝑔(𝑥) = 3 + log 𝑥
Type of Graph:
Parent:
Translation:
Domain:
Range:
Continuous(yes/no):
Zeros:
y-intercept:
Vertex:
Vertical Asymptotes:
Horizontal Asymptotes:
Equation: 𝑓(𝑥) =
1
𝑥 2 −4
Type of Graph:
Parent(do not graph parent):
Translation: NA
Domain:
Range:
Continuous(yes/no):
Zeros:
y-intercept:
Vertex:
Vertical Asymptotes:
Horizontal Asymptotes:
Part II: Algebra II Tools
Factor completely.
Factor completely.
4𝑥 2 − 25
Factor completely.
𝑥 2 + 18𝑥 + 32
Factor completely.
2𝑥 2 − 18𝑥 − 44
Factor completely.
15𝑥 2 − 𝑥 − 2
Factor completely.
13𝑥 + 20𝑥 2 + 2
Factor completely.
3𝑥 3 − 2𝑥 2 − 3𝑥 + 2
Perform the indicated operation.
8𝑥 3 + 27
(𝑥 + 4)2
Perform the indicated operation.
(2𝑥 + 5)(2𝑥 − 5)
Perform the indicated operation.
Perform the indicated operation.
(𝑥 − 3)(𝑥 2 − 2𝑥 + 5)
Simplify giving all answers using only positive
exponents.
(𝑥 + 5)3
16𝑥 3 𝑦 4 𝑧 6
(
)
36𝑥 5 𝑦 8 𝑧
Simplify giving all answers using only positive
exponents.
(2𝑎2 3
Simplify the radical.
√144𝑥 5 𝑦 4 𝑧 8
4
𝑏 𝑐)
(2𝑎𝑏)3 (3𝑎𝑐 4 )
Simplify the radical.
2
Simplify the radical.
√−81
√50𝑎3 𝑏 5 𝑐10
Simplify the radical.
Simplify the radical.
16𝑥 2
√
25𝑦 6
Simplify giving all answers using only positive
exponents.
2 5 −1
𝑎 𝑏
( 6 )
𝑎 𝑏
3
√8𝑎2 𝑏5 𝑐 12
Simplify giving all answers using only positive
exponents.
(𝑥 5 𝑦 4 )0
Pre-Calculus PAP Summer Packet
Name: ________________________________
Welcome to Pre-Calculus PAP! As part of a successful year, you will need
to complete a summer packet over mathematical concepts needed for
this course. Complete this packet over the summer and have it ready to
turn in Wednesday, September 4, 2013. If you complete the packet by
Wednesday, August 28, 2013, you will receive 10 bonus points. If you
misplace your packet, a copy will be available on my website at
www.dickinsonisd.org
Study groups are encouraged. Feel free to use resources such as notes
from other math courses, books, and internet. A test will be given
covering the material after the September 4th deadline.
Have a safe summer. I am looking forward to a great 2013-2014 year!
Margaret J Milutin
Pre-Calculus PAP/Algebra 2
Rubric for Pre-Calculus PAP Summer Packet
Completed Packet:
40 points
___________
Due: Wednesday, Sept. 4, 2013
Early Bird(+ 10 pts): Wednesday, Aug. 28, 2013
Test:
TOTAL
60 points
___________
___________