Experiment : Date :
ACTIVITY 4
08SECTIVE
To Sketch
the qxaphs of ax aand log a20
Ond to
ezaminethat. they are miao
images of each othe
MATER\ALS REQUIRED A
Goaph she et,
et qeometrical intuments , thin wines,
sketchpens, thfck uhite paper, adhesive penal,
METHODS DE CONTRUCTIDN
On the papex, fx
iz a qaph sheet of convenient
&Ze wth odhes?ve
2 On the sheet take two perpendiceulan lines
XOx and yoy', depicting coordinate axls
3. Mayk graduation on the 2 axes as shown in the
4 Findsome Ordered pairs satfsfying y-a
and slog, Plot these poYnts CoYespondinq to the
ondered pafrs and join them by tree hand (usVes
in both the cases Fx the threaáa/uires alono these eun vas.
Page No.
Experiment : Date
5.DTQW the groaph and fi a wire/
of y=
thyeod along the qyaph
DEMONSTRATION
4" For a take as2(Say) and find orded
pains Safsfying
23 -32-y2
Va2
2 05 4
and plot these oTdened poirs on he squaredpaper
aoin the oirts ith a thfn usre Jthread
This il epresent the araph f
3 log, =4 qives L=2 Some oTdered pairs
Sattafuinq 2
2 3 -3
plot these QHdeed poirs On the
tHhe gaph papey ano
drauing pin at ench ploted pânt oin the
bases of the
drauing pins uith a thin wire.
This wfll iepxesent. the qnaph of log
the qraph of \ine = on he sheet
5. Place d mínoY along the nie Tepaeenfing
Page No.
Experiment Date :
4=xH Lan be
be seen that the two qraphs of
ai ven functíons are miIoY imaaes of each other
in the ene
OBSERVATION
|" mage of ordeed pnfrs l,2) sn the graph o
u-2 in y=I is (2,)
On the qTnph
-\o9, of
QImage of this polnt ) oon the qraph of
y=log,x y=x is (24)
\fes on the
the aaph ofss2
Repeat +his procese for Same potots lyiog
the tuo Qraphs
APPLISA NONS
The actiuity is useful in underatanding themept
|erponenial and Iog functonsT uhich aYe mirroc
of each othe n
images
Page No.
Experiment: Date :
ACTI VT Y -5
OBFTIVE
To Jerif that the Helation R the set
all lines in oa plane, defined by
R=C, m): m? is sunm gtíc but neither
Yeflexiye nor transitive.
MATERIALS REQURED ?
Goaph sheet So piece of uires threads,
white sheet alue et.
METHODS OF CONSTRUCTION
Take a araph sheet and paste on white paper
the wuire s threads Handomy on the qraph
Such that Some of them aYe parallaly Some are
pexpendicular to each otheY and Some. aTe indined
as Shoun in the fiqure
DEMONST RAION
Let the wires represent the ines , , y***
e is pependicular to each of the Iines le,lsl
y is pexpendiaular tol
" , is ponalel to , l is parallel to la and
le is panallel to
Page No.
Experiment: Date :
OBSERVATION
l Inhqure , no line ts pey Denditlan to ttseltSo
the elation
Rm): lLm s not nefleziye s [is not
a Tn fqure , l l . is , Yes Ves|Na
) ER ’
l)_ERÇ,¬J
Similarlye Is lie, 2Yes Yes|Na
l l ) ER (ul) E R CEE)
Also, l i ls lyi 2 Yes [es/ND]
,The elation R is Synmetrte Cis|is not]
3. Ih qure, and A
No [Yes| no]
(ie) ( l ) ER and
. The Relation R is not transitive [ls |is not
AepLICATION check
This. aciity
ac Can be used to e k whe ther
qiven Melatiorn fs an equivalence uelation or not.
Page No.
Experiment Date
ACTIVTY6
OBIECTIVE
To wbich iss not
demonstrate a funcion
one- one but is onto
MATERIALS RE QVLRED
Ruler , Sketoh pen, paper,adhesive and
xactanoulan coloun stips
METHOD CONTRUCTION
1 Paste Ochangulas colous ship on theleft
hand side of the papen and write ,2 and 3 on
the shrip
2 Paste ancther ship on the right hand stide of.
the paper and write
write a,b on the strip:
3Join numbens on the \eft strip ta. the elements
n the sight ship 0s shown is figure
DEMONSTRAION
the set X = 1,2,3
Take.
Take the Set
3. Ioin (corYespondence) elements of x to the
elements of Y as shown in Raure
Page No.
Date :
Experiment:
OBSERVA TION
|: The image of the element 1 ofX in Y
The image of the element 2 of x ann yy is b
The image of the element 3 of_ X fn Y is b
So, faure nepnesents
2 Eveu element in x has not a unique Image
in Y So, the funcion 1s
is not one - one one -one
not one-one
3 The element o f i n X
pne-image
ezist (eist ldoes not esiat). So, the function is omto
Application
This acivity Canbe used t demonstr ate the
concept of one- One and cnto funcion
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