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Consider the function g. 9(-) = 6() For the x-values given in the table below, determine the corresponding values of g(x) and plot each point on the graph.. -1 0 1 2 g(x) Drawing Tools Click on a tool to begin drawing * Delete Undo Reset Select Point 14 13 12 11 10 9 00 reserved.



Answer :

we have the function

[tex]g(x)=6(\frac{3}{2})^x[/tex]

Find out the value of function g(x) for each value of x

so

For x=-1

substitute the value of x in the function g(x)

[tex]\begin{gathered} g(-1)=6(\frac{3}{2})^{-1} \\ g(-1)=6(\frac{2}{3}) \\ g(-1)=4 \end{gathered}[/tex]

For x=0

[tex]\begin{gathered} g(0)=6(\frac{3}{2})^0 \\ g(0)=6 \end{gathered}[/tex]

For x=1

[tex]\begin{gathered} g(1)=6(\frac{3}{2})^1 \\ g(1)=9 \end{gathered}[/tex]

For x=2

[tex]\begin{gathered} g(2)=6(\frac{3}{2})^2 \\ g(2)=13.5 \end{gathered}[/tex]

using a graphing tool

plot the different points

so

we have

(-1,4)

(0,6)

(1,9)

(2,13.5)

see the attached figure to better understand the problem

please wait a minute

View image KymierE571659

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