#### How to graph an exponential function y = 9(\frac{1}{3})^{x}

Anonymous

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Sangeetha Pulapaka

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STEP 1: Prepare a table of values by plugging in the values of x in y = 2(\frac{1}{3})^{x}

Plugging in x = 0 we get y = 2\times 1 = 2

Plugging in x = -1 we get y = 2 (\frac{1}{3})^{-1}= 2\times 3 = 6

Plugging in x = -2 we get y = 2(\frac{1}{3})^{-2} = 2 \times 9 = 18

Plugging in x = 1 we get y = 2(\frac{1}{3})^{1} = \frac{2}{3}= 0.666

Plugging in x = 2 we get y = 2(\frac{1}{3})^{2} = \frac{2}{9} = 0.111

STEP 2: Plot these values on the coordinate plane

STEP 3: Join them to get the exponential curve

More skills you may want to recall:

What is an exponential function

http://tutorial.math.lamar.edu/Classes/Alg/ExpFunctions.aspx

How to plot a point on the coordinate plane

https://www.ixl.com/math/grade-6/graph-points-on-a-coordinate-plane