SOLUTION: sketch the graph of the following functions f(x)=-2*(3)^x and g(x)=4*(1/3)^x

SOLUTION: sketch the graph of the following functions f(x)=-2(3)^x and g(x)=4(1/3)^x

Question 117748: sketch the graph of the following functions
f(x)=-2*(3)^x and g(x)=4*(1/3)^x
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to show you how to do these

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

Multiply -2 by 1 to get -2

So when , . So our first point is (0,-2)

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

Raise 3 to the first power to get 3

Multiply -2 by 3 to get 6

So when , . So our second point is (1,-6)

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

Raise 3 to the second power to get 9

Multiply -2 by 9 to get -18

So when , . So our third point is (2,-18)

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

Raise 3 to the third power to get 27

Multiply -2 by 27 to get -54

So when , . So our fourth point is (3,-54)

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

Now lets make a table of the values we have calculated

Now plot the points

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