CamScanner 09-06-2023 17.48
.pdfSchool
University of Notre Dame **We aren't endorsed by this school
Course
MATH 105
Subject
Mathematics
Date
Nov 13, 2023
Type
Other
Pages
7
Uploaded by EarlFireShark45 on coursehero.com
Name:
In-Class
Activity:
7
69
Instructions:
Work
together
in
groups
of
3
or
4
to
complete
the
following
problems.
y
Student
goals:
e
Determine
if
a
simple
function
is
an
even
or
odd
function
given
a
graphical
represen-
tation
or
algebraic
expression.
o
Define
piecewise
defined
functions
with
correct
notation.
e
Graph
a
function
defined
using
piecewise
defined
notation.
o
Identifying
the
subset
of
a
domain
where
a
function
is
increasing,
decreasing,
or
is
constant.
o
Determine
relative
minima
and
maxima
from
a
graphical
representation
or
for
the
algebraic
representation
of
simple
functions.
1.
Graph
each
of
the
following
piecewise
functions.
(®)
_\
z+5
ifr<
-2
flz)i{—4
o>
2
Y
i'i'
L]
Mauth
1113
-
Precalculus
Scanned
with
CamScanner
70
Name:
In-Class
Activity:
7
(b)
f(z)—'
2r+1
ifz<1
)
T
2043
ifz>1
o
y
A
=1
1S
ol
Vil
~1})
11
3
/
z
\|!
2|
/
231-3
/
L
\
\/
(c)
.
(5
ifz<
-2
fl@)
=43
if-2<z<6
N
3—2-214-10
ifz>6
y
J
-1
|5
y
~\
S
G
XY
v
-2
7|-¢
T
X
\_
J
University
of
Georyia
Department
of
Mathematics
Scanned
with
CamScanner
Namie:
In-Class
Activity:
7
71
2.
Evalnate
the
piecewise
function
for
the
given
values
of
z.
(a)
r+5
ifr<
-2
f('r)z{-4
ifr>2
=8
fl-9=1
f-2=5
(b)
r—1
ifoe
<=2
flxy=q2x-1
if-2<a<4
-3z
+8
ifz>4
f-y=
-7
f-9)=
-0
fey=
"1
3.
For
each
of
the
following
functions,
determine
if
the
function
is
even,
odd,
or
neither.
(Show
your
work
and
justify
your
conclusion
using
the
relevant
definitions.)
S
)"D
=
{;{)
(a)
f(z)=412
_3|$|
"'(Xb
2
P
L—'(}
/F\,'x)
:—'FL'[)
?'(")(.):
:'F"O
FO-x)™
2\
A\
iy
s
=
lag®h=
Al
7
~4xE
-2y
-
-«
-BY
=
04
p)
F
gy
OTEIN
@
(b)
f(z)=4a®
—2{
,17'5
-'L(,'l\\
VRN
oty
by
P
32K
L
foy
e
C
)=
12
21—'3
@
flr=+
Lt
-9)
4(-x)
+7,(->()
=%
7
_'rvaq'
1¥
-5
e
T
Nox
0do
REATEY
.
\¢
endr
Math
1113
-
Precalculus
Scanned
with
CamScanner
