SOLUTION: Sketch the graph of f(x) = 3^x

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Question 110363: Sketch the graph of f(x) = 3^x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=3%5Ex Start with the given expression
In order to plot an exponential function, we need to plot some points
We can start at any x value, so lets start at x=0

f%280%29=3%5E0 Plug in x=0

f%280%29=1 Raise 3 to the zeroth power to get 1

So when x=0, y=1. So our first point is (0,1)


----Now lets find another point----
f%281%29=3%5E1 Plug in x=1

f%281%29=3 Raise 3 to the first power to get 3

So when x=1, y=3. So our second point is (1,3)


----Now lets find another point----
f%282%29=3%5E2 Plug in x=2

f%282%29=9 Raise 3 to the second power to get 9

So when x=2, y=9. So our third point is (2,9)



===============================================================================

Now lets make a table of the values we have calculated 



 xy



 01
 

 13
 

 29
Now plot the points



Connect the points to form the graph y=3%5Ex
Graph of y=3%5Ex through the points solved for earlier