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Flip Charts
Nonlinear Functions & Set Theory
Mathematics, Grade 7
❮
1
/
2
❯
© Copyright NewPath Learning.
All
Rights
Reserved.
93-4710
www.newpathlearning.com
•
A
function
is
a
rule
that
is
performed
on
a
number,
called
an
input,
to
produce
a
result
called
an
output.
•
There
are
two
types
of
functions:
linear
and
nonlinear.
•
Linear
functions
can
be
represented
by
straight
lines
on
a
coordinate
plane.
A
linear
function
has
an
equation
that
can
be
written
in
the
form
of
y
=
m
x
+
b.
•
Equations
whose
graphs
are
not
straight
lines
are
called
nonlinear
functions.
Nonlinear
Functions
Set
Theory
•
A
set
is
a
collection
of
individual
objects.
•
Set
theory
helps
us
organize
things
into
groups
and
to
understand
logic.
Subset
Definition
Notation
Example
Venn
Diagram
Set
A
is
a
subset
of
set
B
if
all
the
elements
of
set
A
are
in
set
B.
A
B
A
B
A
B
A
=
{apple,
orange}
B
=
{apple,
orange,
pear,
banana}
A
B
All
the
elements
of
A
are
in
B.
Intersection
Definition
Notation
Example
Venn
Diagram
The
intersection
of
sets
A
and
B
consists
of
only
elements
which
belong
to
both
sets
A
and
B.
A
B
A
=
{apple,
orange,
plum}
B
=
{pear,
banana,
apple}
A
B
=
{apple}
Apple
is
the
only
fruit
in
both
sets.
The
union
of
sets
A
and
B
consists
of
all
elements
which
belong
to
either
set
A
or
set
B.
A
∪
B
A
=
{apple,
orange,
plum}
B
=
{pear,
banana,
apple}
A
∪
B
=
{apple,
orange,
plum,
pear,
banana}
All
the
elements
in
both
sets
are
included.
As
a
round
balloon
gets
inflated,
its
radius
changes
and
its
volume
increases.
Radius
(in.)
Volume
(in
3
)
1
2
3
4
5
6
4.19
33.52
113.13
268.16
523.75
904.32
0
1
2
3
4
5
6
7
8
9
10
Radius
(in.)
V
olume
(in
3
)
0
100
200
300
400
500
600
700
800
900
1,000
Sample
Graphs
of
Nonlinear
Functions
A
B
Union
Definition
Notation
Example
Venn
Diagram
4
4
3
3
2
2
1
1
-1
-1
-2
-2
-3
-3
-4
-4
0
4
4
3
3
2
2
1
1
-1
-1
-2
-2
-3
-3
-4
-4
0
Nonlinear
Functions
&
Set
Theory
© Copyright NewPath Learning.
All
Rights
Reserved.
93-4710
www.newpathlearning.com
•
A
function
is
•
There
are
two
types
of
functions:
and
.
•
Linear
functions
can
be
represented
by
.
A
linear
function
has
an
equation
that
can
be
written
in
the
form
of
.
•
Equations
whose
graphs
are
not
straight
lines
are
called
.
Nonlinear
Functions
Set
Theory
•
A
set
is
Subset
Definition
Notation
Example
Venn
Diagram
Intersection
Definition
Notation
Example
Venn
Diagram
As
a
round
balloon
gets
inflated,
its
radius
changes
and
its
volume
increases.
Radius
(in.)
Volume
(in
3
)
1
2
3
4
5
6
4.19
33.52
113.13
268.16
523.75
904.32
0
1
2
3
4
5
6
7
8
9
10
Radius
(in.)
V
olume
(in
3
)
0
100
200
300
400
500
600
700
800
900
1,000
Draw
a
Sample
Graph
of
a
Nonlinear
Functions
Union
Definition
Notation
Example
Venn
Diagram
4
4
3
3
2
2
1
1
-1
-1
-2
-2
-3
-3
-4
-4
0
Key
Vocabulary
Terms
•
coordinate
plane
•
equation
•
function
•
input
•
intersection
•
linear
function
•
nonlinear
function
•
output
•
set
•
set
theory
•
subset
•
union
.
.
.
.
.
.
•
Set
theory
helps
us
Nonlinear
Functions
&
Set
Theory
\|xiBAHBDy01676sz\
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