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)   (Show Source): You can put this solution on YOUR website!
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

Plug in

Raise 3 to the zeroth power to get 1

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


----Now lets find another point----
Plug in

Raise 3 to the first power to get 3

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


----Now lets find another point----
Plug in

Raise 3 to the second power to get 9

So when , . 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
Graph of through the points solved for earlier

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