Posted by Tristan on Tuesday, February 19, 2013 at 6:00pm.
I am having problem graphing with these two equations 2(3^x)3 and –3(3^–x)

math quiz tomorrow  Reiny, Tuesday, February 19, 2013 at 7:04pm
why don't you just get yourself a few ordered pairs for each one ?
e.g. for
y = 2(3^x)  3
(0, 1), (1, 3) , (2,15) , (3, 51) , don't graph the last one, rather just visualize where it is, and what happens if x gets larger
if x = 1,
y = 2(1/3)  3 = 2.33 (1, 2.3)
if x = 2
y = 2(1/9)  3 = appr 2.78 > (2, 2.8)
..
if x = 5
y = 2(1/243)  3 = 2.991 > (5, 2.99)
so clearly the graph approaches 3 as you go to the left, and it rises sharply as you go to the right
the yintercept is 0,1)
for the second one,
y = 3 ( 3^x )
eg.
if x = 0 , y = 3(1) = 3
if x = 1 , y = 3(3^1) = 3(1/3) = 1
if x = 1 , y = 3(3^1) = 9
if x = 2 , y = 3(3^2) = 3/9 = 1/3
if x = 2 , y = 3(3^2) = 27
that should be enough to show what is happening.