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

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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)



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Now lets make a table of the values we have calculated

 x
y

 0
1
 
 1
3
 
 2
9
 

Now plot the points



Connect the points to form the graph
Graph of through the points solved for earlier