Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions - Exercise Set 7.6 - Page 474: 5

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Find the value of\[f\left( x \right)\]for different value of\[x\], and make a table as: When \[x=-2\] \[\begin{align} & f\left( x \right)={{3}^{-2-1}} \\ & =\frac{1}{{{3}^{3}}} \\ & =\frac{1}{27} \\ & =0.037 \end{align}\] When \[x=-1\] \[\begin{align} & f\left( x \right)={{3}^{-1-1}} \\ & ={{3}^{-2}} \\ & =\frac{1}{9} \\ & =0.11 \end{align}\] When \[x=0\] \[\begin{align} & f\left( x \right)={{3}^{0-1}} \\ & ={{3}^{-1}} \\ & =\frac{1}{3} \\ & =0.33 \end{align}\] When \[x=1\] \[\begin{align} & f\left( x \right)={{3}^{1-1}} \\ & ={{3}^{0}} \\ & =1 \end{align}\] When \[x=2\] \[\begin{align} & f\left( x \right)={{3}^{2-1}} \\ & ={{3}^{1}} \\ & =3 \end{align}\]