Answer
$\left[\begin{array}{lll}
& f(x)=\log_{1/2}x & g(x)=-2\log_{1/2}x\\
domain & (0,\infty) & (0,\infty)\\
range & (-\infty,\infty) & (-\infty,\infty)\\
asymptote & x=0 & x=0
\end{array}\right]$
Work Step by Step
1.Create a table for graphing f(x),
plot several points and join with a smooth curve.
2. $g(x)=-2f(x)$
The graph g(x) is obtained from f(x) by
(i) reflecting it about the x-axis and
(ii) vertically stretching by factor 2
3. Read the graph for :
$\left[\begin{array}{lll}
& f(x)=\log_{1/2}x & g(x)=-2\log_{1/2}x\\
domain & (0,\infty) & (0,\infty)\\
range & (-\infty,\infty) & (-\infty,\infty)\\
asymptote & x=0 & x=0
\end{array}\right]$
