1.
Write
a
function
that
describes
the
area
of
the
water
puddle
on
the
floor
as
a
function
of
its
radius.
Use
function
notation.
A
=
£{10.1)
=
m(t0.1)*2
2.
Write
a
function
that
represents
the
radius
of
the
puddle
at
time
¢t
Use
function
notation.
f(x)=10.1
3.
What
1s
the
area
of
the
puddle
on
the
floor
when
the
employees
arrive
at
work
at
7
am?
Write
a
composition
of
functions
to
help
vou,
and
round
your
answer
to
the
nearest
whole
number.
Explain
how
you
found
your
answer.
The
amount
of
minutes
between
3
AM
(the
beginning
of
the
puddle)
and
7
AM
(the
arrival
of
the
employees)
is
240
minutes.
A
=
f(t0.1)
=
w(t0.1)*2
4.
What
function
represents
how
much
more
water
can
be
added
to
the
bucket
before
1t
overflows?
Explain
how
you
solved
this
problem.
f(x)
=
-6x"3
+
3x"3
+
2x
+
2
To
tmd
thns
functnon
|
found
the
dlflerence
between
each
term
of
the
funct»on
of
the
an
maw
5.
At
around
noon
the
store
roof
appear:.
to
have
:.topped
lealunz
50
an
emplox
ee
removes
the
bucket
that
was
catching
the
water
and
does
not
replace
it.
Overnight
it
begins
to
rain
again,
and
water
starts
leaking
from
the
ceiling
onto
the
floor,
again
creating
a
circular
puddle.
The
hole
in
the
roof
1s
larger
this
time,
so
at
each
time,
t,
in
minutes,
the
radius
of
the
puddle
increases
by
0.25
em.
Write
a
composition
of
functions
to
represent
the
area
of
the
puddle
as
a
function
of
time.
f(x)
=10.1
and
g(x)
=10.1
+
L0025
glf(x))
=
10.1
(£.01)
+t0.25
6.
Look
at
the
function
you
wrote
for
question
5.
Does
this
function
have
an
inverse?
If
so,
what
1s
1t7
Is
the
inverse
a
function?
Show
your
work
and
explain
your
reasoning.
The
function
above,
ultimately,
is
g(f(x))
=
10.12
+
10.25
The
function
doesn't
have
an
inverse.
