7
LAB
ACTIVITY
OpiC
|
EXPONENTIAL
AND
LOGARITHMIC
FUNCTIONS
mirror
'vt:
To
sketch
the
graph of a
and
log",
a>
0,
a * 1
and
to
examine
that
they
are
images
of
each
other.
MATERIALS
REQUIRED:
)
Drawing
board
(i)
Drawing pins
(vii)
Pencil
(i)
Geometrical
instruments
()
Thick
white
paper
(vii)
Eraser
(iii)
Thin
wires
(oi)
Sketch
pens
(ix)
Adhesive
(Glue
(x)
Plane
mirror
(xi)
Graph paper.
STEPS
OF
CONSTRUCTION:
Step
(i):
Step
(ii:
Fix
a
thick
paper
sheet
of
size
25
cm
x
25
cm
on
the
drawing
board
with
adhesive.
Take
co-ordinate
axes X'OX
and
Y'OY as
two
perpendicular
lines
on
the
sheet.
Step
(iii):
Mark
graduations
on
the
two
co-ordinate
axes,
as
shown
in
the
figure.
Step
(iv):
Obtain
few
ordered
pairs,
which
satisfy
y = a
and
y =
loga
x.
Step
():
Plot
these
points
corresponding to ordered pairs,
obtained
in
step
(iv).
Join
these
points
by
free
hand
curves
in
both
cases.
Step
(oid: Fix
thin
wires
along
these curves
by
the
use
of
drawing
pins.
Step
(vii):
Using
drawing
pins,
draw
the
graph
of y = x
and
fix a
wire
along
these
curves.
12
10
8
-y-log:X
2 6 8
10 12
14
x
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