Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.6 Modeling Data: Exponential, Logarithmic, and Quadratic Functions - Exercise Set 7.6 - Page 474: 1

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Find the value of\[f\left( x \right)\]for different value of\[x\], and make a table as: When \[x=-2\] \[\begin{align} & f\left( x \right)={{4}^{-2}} \\ & =\frac{1}{16} \\ & =0.0625 \end{align}\] When \[x=-1\] \[\begin{align} & f\left( x \right)={{4}^{-1}} \\ & =\frac{1}{4} \\ & =0.25 \end{align}\] When \[x=0\] \[\begin{align} & f\left( x \right)={{4}^{0}} \\ & =1 \end{align}\] When \[x=1\] \[\begin{align} & f\left( x \right)={{4}^{1}} \\ & =4 \end{align}\] When \[x=2\] \[\begin{align} & f\left( x \right)={{4}^{2}} \\ & =16 \end{align}\]