(a)
\Observe the graph.
\At the function is
units below
axis.
Therefore the point lies on the graph
.
Hence, .
At the function is
units above
axis.
Therefore the point lies on the graph
.
Hence, .
(b)
\Find the value of where the graph
.
Observe the graph.
\The values of for which the
values of both the functions are equal.
At , the functions
and
are
unit above
axis.
Therefore the point lies on the graph.
Hence, and
.
At , the functions
and
are
units above
axis.
Therefore the point lies on the graph.
Hence, and
.
The values of are
and
.
\
(c)
\Find the value of where the graph
.
Observe the graph.
\ at
and
.
Hence, and
.
(d)
\Observe the graph.
\ decreases for all values of
between
.
decreases on the interval
.
(e)
\The domain of consists of all values of
on the graph of
.
is defined for
.
The domain of is
.
The range of consists of all values of
on the graph of
.
takes all the value from
to
.
The range of is
.
(f)
\The domain of consists of all values of
on the graph of
.
is defined for
.
The domain of is
.
The range of consists of all values of
on the graph of
.
takes all the value from
to
.
The range of is
.
(a) and
.
(b) The values of are
and
.
(c) and
.
(d) .
(e) Domain of is
and range of
is
.
(f) Domain of is
and range of
is
.