Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions - Exercise Set 7.6 - Page 474: 4

See below:

Find the value of\[f\left( x \right)\]for different value of\[x\], and make a table as: When \[x=-2\] \[\begin{align} & f\left( x \right)={{2}^{-2-1}} \\ & =\frac{1}{{{2}^{3}}} \\ & =\frac{1}{8} \\ & =0.125 \end{align}\] When \[x=-1\] \[\begin{align} & f\left( x \right)={{2}^{-1-1}} \\ & ={{2}^{-2}} \\ & =\frac{1}{4} \\ & =0.25 \end{align}\] When \[x=0\] \[\begin{align} & f\left( x \right)={{2}^{0-1}} \\ & ={{2}^{-1}} \\ & =\frac{1}{2} \\ & =0.5 \end{align}\] When \[x=1\] \[\begin{align} & f\left( x \right)={{2}^{1-1}} \\ & ={{2}^{0}} \\ & =1 \end{align}\] When \[x=2\] \[\begin{align} & f\left( x \right)={{2}^{2-1}} \\ & ={{2}^{1}} \\ & =2 \end{align}\]