Graphing an Exponential Function Using Transformations

Graph \(f( x) =3^{-x}-2\) and determine the domain and range of \(f.\)

Solution We begin with the graph of \(y=3^{x}.\) Figure 63 shows the steps.

The domain of \(f\) is all real numbers, the range of \(f\) is the interval \((-2,\infty\)).