Find the Asymptotes and the holes for the following:
1.
VA: x = 4
HA: y = 1
Hole at -2
2.
VA: x = 7, x = 1
Asymptote: y = 2x + 14
No holes
3.
VA: x = 1
Asymptote: y = x
No holes
4.
VA: x = 3
Asymptote: y = x + 6
Hole at 4
5.
VA: x = -1
HA: y = 0
Hole at 0
Pre Calculus Assignment Sheet Chapter 4
Wed. Oct 30
4.1 M3 #3-12, 21-36, 42-63 Do not multiply out #51, 54, 57
Thurs, Oct 31
Midterm, Chapter 1 and 2
Fri, Nov 1
4.2 M3 #15-42
Mon, Nov 4
4.3 #4-16 M4, 19-24 All, 44 -56 M4
Tues, Nov 5
4.4 M3 #3-42, not 21 F
Rational Functions:
Domain: all real numbers except what makes the denominator equal
zero
Y-intercept: at f(0)
X-intercept: zeros of the numerator that are NOT zeros of the
denominator
Vertical asymptote: at x=c iff c is a zero of the denominator but NOT
Stats 1.7
Variance and Standard Deviation
*variance- measure of spread; average of the squared deviation
*standard deviation-measure of spread; the square root of the variance. This is a rough
measure of the average amount the observations deviate from th
Stats 1.5 Histograms
Histogram-Special type of bar graph that displays frequency no space between the bars
Frequency histogram-uses the number of values that fall in each interval
Relative frequency histogram-uses the percent of values that fall in each i
Stats 1.4
Quartiles, Percentiles and Boxplots
Rank-ordered-sequenced in order on some scale
Ascending order- rank-ordered from lowest to highest
Spread- range
Quartile- divides an ordered set into 4 subsets
First (lower) quartile- the median of the number
Statistical Displays
Statistics is the branch of mathematics focused on the collection, analysis and
interpretation of data. From politics to sports to research labs, statistics are used in
virtually every field. During the last 20-30 years, we have seen
Stats 1.2
Stemplots and Dotplots
Stemplot- -a way to organize data numerically
Distribution-a data set
Stem-the first digit(s)
Leaf- 1 digit always!
Maximum- highest value
Minimum- lowest value
Range-highest lowest
Cluster- group of scores close together
Stats 1.3
Measures of Center
Statistics utility- your graphing calculator with statistical capability or a software
package
Measures of center/central tendency- a statistic describing a typical value of a numerical
data set; including mean, median, mode
M
Stats
10) Which way is this histogram skewed?
11) If this pie graph represents 300,000 peoples favorite snack foods, how many people have popcorn
as their favorite snack food?
12) Using the following data set, determine the mean, median, mode, Q1, Q3, IQR
Algebra 2 STEM 2nd Semester Midterm Review WS
Topics:
Ch 13/14
*Convert from degrees to radians
*Convert from radians to degrees
*Find values from the unit circle
*6 trigonometric ratios
*Graphing a sine or cosine wave
*Amplitude and period of a sine/cosi
Ch 13/14
1. Determine the values of the six trig ratios.
A
sin A = _
cos A = _ tan A = _
csc A = _ sec A = _ cot A = _
2. Determine the values of the six trig ratios.
sin A = _
7
cos A = _ tan A = _
25
24
csc A = _ sec A = _ cot A = _
3. Convert each meas
Ch 10
14) Find the center and radius of a circle that has a diameter with endpoints at (5, 4) and (0, -6).
15) Write the equation of the circle with center (-2,5 ) and radius 4.
16) Write the equation of the circle with center (1, 4) and containing the po
Manipulating Functions Worksheet
Modeling Day 1
Name:_
1. Teresa is running a chemical reaction that can be modeled by a quadratic
function. When she begins the reaction there are 20 grams of sodium chloride
present. At 2 minutes there are 48 grams of sod
Algebra 2 Honors Unit 3 Test Review Worksheet
Name:_
The Test is NO Calculator and Calculator. Any problems marked with a C would be on the calculator
page.
10-12) State whether the functions are invertible.
Write the rule for the inverse of each function
5.
Let the graph of f(x) be the following:
Give a description of each and then graph the following problems:
f(x) - 3
_
b.
f(x + 1)
_
Page
15
a.
2013-10-10 12:31:15
1/3
Manipulating Functions Notes.pdf (15/30)
f(x 2) + 1 _
d.
-f(x + 1)
_
e.
f(-x) 2
_
Page
Manipulating Functions
Name:_ Hour:_
For the problems following, prove that they are even, odd or neither.
9.
10.
11.
12.
Worksheet adapted
from:http:/www2.fultonschools.org/teacher/yarbroughd/Math%20I/Unit%205/Symmetry/5.5a%20Sy
mmetry%20with%20Even%20an
Manipulating Functions Worksheet
Modeling Day 2
Name:_
For 1-3:
a) Check to see if constant differences or ratios can be used to determine which parent
function would best model the given data set. If necessary, use your calculator and the
coefficient of
Example 2: Find the following for this data on average temperature and rainfall for
eight months in Boston, MA.
Temp()
29
30
39
48
58
68
73
72
Rainfall(mm) 95
91
100
93
84
79
73
92
a)
Make a scatter plot of the data with temperature as the independent var
Manipulating Functions Worksheet
Name:_
Composition of Functions
Use the following to complete problems 1-9.
Find each function:
1.
(gk)(x)
2.
(g h)(x)
3.
( )
5.
g(h(-3)
6.
k(h(12)
Find each value.
4.
g(k(9)
Write each composite function. State the domain