Question 34527
I'll try to plot some points and then refer to the graph

y-intercept:
{{{y = 2 * 3^0 - 5}}}
{{{3^0 = 1}}}
{{{y = 2 - 5}}}
{{{y = -3}}}
when x = 0, y = -3
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x-intercept:
{{{0 = 2 * 3^x - 5}}}
{{{2 * 3^x = 5}}}
{{{3^x = 5/2}}}
take log base 10 of both sides
{{{log(3^x) = log(5/2)}}}
{{{x * log(3) = log(5) - log(2)}}}
{{{ x = (log(5) - log(2)) / log(3)}}}
{{{ x = (.699 - .301) / .477}}}
{{{x = .834}}}
when y = 0, x = .834
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asymptote:
When x approaches -infinity, 2 * 3^x approaches 0,
and y approaches -5

{{{ graph( 400, 400, -5, 3, -6, 4, 2*(3^x)-5) }}}