Precalculus
1.6 Notes: Inverse Functions
Name _
An inverse relation interchanges the input and output values of the
original relation. A relation is simply a pairing of input values with
output values. If the original relation and the inverse relation hap
Precalculus ' Name 419$!
1.3 NoTes: Analyze Characteristics of FuncTions
A varieTy of CharacTerisTics and behaviors of a funcTion can be described by looking aT iTs graph, including:
. domain and range
- x-inTercest and y-inTercepT
. reIaTive maxima and m
Precalculus ' Name
1.2 Notes: Evaluating Functions '
Function Notation: A way to name and evaluate functions.
Given f(x): ' I
' f is the mine of the function. Using different letters easily denotes different functions.
- x is the input value (part of the
nmWAJCGLAZCKAIF-Tn 2.: XnTMJYLJLI-dmb. sum M31: mg; '
Precalculus - Name Kg! _ ._ .
1.6 Notes: Inverse Functions " cfw_Mliifaf n
An inverse relation interchanges the input and output values of the *1
original relation. A relation is simply a pairing of
K2.
Name
Transformations of FuncTions Represented by Graphs
Precalculus
1 4 NoTes
Given The funcTion below, describe The TransformaTion(s),
If
and-zThen graph The new function.
There is more Than one TransformaTion, be careful of The order in which The Tr
Precalculus Name &%
1.3 NotesDay 1: Graph and Analyze Piecewise Functions
A piecewise function is a function defined by two or more equations over' a specified domain.
3 4, x 0
Given, f(x) = : +1 x :0 If evaluating an x value less than 0, plug it into EXH
T
T
i
r
r
l
i
3
i
i
3
i
1
1
i
:
i
T
T
T
T
T
i
L
T
T
i
x
T
r
w
r
x
E.
ReflecTing-ParenT Graghs - Calculator-I Exgloraon ' , -. - - -
- Graph f(x) = J; and 900 2 x on a sTandar'd viewing window: sketch below.
9
,. . I "2; #2
0 Describe The Transform
Precalculus - Name Keel y
1.4 Notes: Transformations of Graphs
You already know that any function of the form f(x)=mx+b is a \'\r\eat* E-Q-chzhkgg and graphs a _
time. . A major goal of this courSe is for students to be able to identify and graph a variet
Precalculus Name 5&1
_ 1.3 Analyzing Functions Extra Practice
Analyze each of the following functions.
unimagi- mama Domain 9; L
.n cfw_3-D
l'lll =u IIIIIIIIIII L 133 L we 5
.I I! IIIIIIEIIII Increasing Intervals - '-2. _ 033
II I III IHII
IIIIIIIIIIIIIII
Precolculus Nome _K_;\_J_
1.5 Notes: Composition and Decomposition of Functions
Composition of Functions
> (fog)(x) or- f(g(x): the output of function 9 becomes the input of function f
> (gof)(x) or g(f(x)i the output of function 1 becomes the input of fu
Problem Se 4*!
(Even vs.odd FunconQ
bat-ermine, agcbra'lcmu KC Jche,
1ch 5 even or o d.
a. ZXBa-Sx sz)
b. FIX): 3XLL5KZ
@19 (-LH, '16 on $00. .
a. NJne, omoJhar- pom-I- on #00 cfw_F 41 is cum.
b. Name. MW pomi- on 900 \C cfw_l is add.
(a) Does Hm. (anthe