Student Handout I - Math with Mrs. Solomon · 2020. 2. 27. · 冖6 “7 一) Yesj each input has...
Transcript of Student Handout I - Math with Mrs. Solomon · 2020. 2. 27. · 冖6 “7 一) Yesj each input has...
Unit: FunctionsStudent Handout I
FUNCTIONS
Name
Date
IDENTIFYING FUNCTIONS
A function is a rule that assigns each input exactly one output
Functions occur when every x-value is associated with exactly one
Y-value
TABLES AND: • To test whether or not a fable or set of ordered pairs represents a
each input x -value exactly oneORDERED PAIRS
function,
output
look to see
-value.
if has
• If a graph represents a function, it should be able to pass a
vertical line testGRAPHS
This means that any vertical
line drawn on the graph should intersect the graph at exactly one
point
Determine whether or not the following representations are functions. Explain your thinking.
1. 2.
x -2 -1 o 1 2 l), (3, Il), 7 1 7
8), (0, 5)}
Yes; each input has exactly one output. No; the input of -2 has two different
3.
x
Yes;
Passes vertical line test
outputs.
4.
No;
Does not pass
vertical line test
5.
Yes;
Passes vertical line fest
OManeuvering the Middle LLC, 20 16
An000一…0000000000
一000000
一一00一00V00Y
一000一冖丶一will00一y0000
一一一0000
EQUATIONS
Substitute
various
input
values
一0
see
an
equation
represents
0
function•
Test
differentinput
values
一0
determine
一「
the
following
equations
represent
functions•
6·
y"x2
This
equation
乛s0
function.
Every
乛nput
f00
x
will
only
result
in
one
00一90一一Have
0一uden
一0try
7·This
equation
is
not
0
function.
「0「example,
if
xⅡ4…ycould
be
42
、
T=00e乛00e…00一000一would
bo
乛h
positive
and
negative
have
more
than
one
input
一丶alues.
output.
Determ
乛ne
if
the
following
represent
functions
by
labeling
00
q.(冖3、7一“冖4“7一~冖5、7一、冖6“7一)
Yesj
each
input
has
exactly
one
OUtPUt•
10.
X
,7
|5
,7
5
Y
3
一3
No;
the
input
Of
,7
has
two
different
8.
x2
+Y2
25
This
equation
is
not
0
function.
一「students
0e00
「ange
the
equat
乛on
一0
00一ve000Y
~芌000=0w乛ng
will
result:
yⅡ斗
25
|x2
Justify
your
answer•
y
>(2+36
Yes;
each
input
has
exactly
one
output.
一2·
Y
X
Yes;
the
989h
passes
the
vertical
一乛ne
test.today's
lesson
…
output
values.
一3、
一4、
Ⅱ4q
|
No;
the
input
0「q
NOj
an
input
may
has
two
different
result
in
morethan
output
values.
one
OUtPUt.
一0…T0乛000一00一00一乛00mo
00一0乛00m0
一一00乛00m
0=00一,一00m一0一000400m
m0m00
一0000
…0一0000一0乛0wr一一00,3000乛00000
000=0一00一0一000mm00
一、一00what
一=0~~0一000000
·
0Maneuvering
the
Middle
LLC'
20
一6