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
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b.
f(x + 1)
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15
a.
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Manipulating Functions Notes.pdf (15/30)
f(x 2) + 1 _
d.
-f(x + 1)
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e.
f(-x) 2
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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
ALGEBRA 2H-STEM
MAINPULATING FUNCTIONS
WARM UP
There are several functions that appear very frequently and you should know the shapes
of their graphs. Of course, you could use a graphing utility to draw these graphs; but,
that would be like getting out yo
Manipulating Functions Worksheet
Name:_
Shifts Day 1
Identify the parent function, describe the transformations, use a table to identify 4
points, and then sketch the graph.
( ) (x)2 + 4
1.
Parent:_
Description:_
_
X
Y
( )
2.
(
)
Parent:_
Description:_
_
ALGEBRA 2H-STEM
MANIPULATING FUNCTIONS
STRETCHES (Day 3)
Vertical Stretch and Shrink. Let g(x) = k f(x). Then the graph of g is obtained from the
graph of f by a vertical stretch if k>1, and a vertical shrink if 0<k<1.
*Reminder* () = ( ) +
Stretching an
ALGEBRA 2H-STEM
MANIPULATING FUNCTIONS
DETERMINING ODD OR EVEN
You learned about line and rotational symmetry in previous math classes. Remember,
that a figure has line symmetry if there is a line that divides the figure into two parts
that are mirror ima
ALGEBRA 2H-STEM
MANIPULATING FUNCTIONS
REFLECTIONS (Day 2)
If () = (), then the graph of g is obtained from the graph of f by reflecting over
the x-axis.
Suppose, for example, that f(2) = 3, so the point (2,3) is on the graph of f. Since
g(x) = -f(x), the