Let's now plot and connect the points ( - 1, -0.2857), ( 0, -2), ( 1, -14), and ( 2, -98) with a smooth curve.
We can see in the graph that the range is all real numbersless than zero. The domain of exponential functions is all real numbers. Let's compare the graph of f with the graph of its parent function, g(x)=7^x. It is useful to also consider the intermediate function h(x) = 2(7)^x.
As we can see, the graph of f is a reflection across the x-axis of the graph of h, while the graph of h is a vertical stretch by a factor of 2 of graph of g. Therefore, the graph of f is a reflection across the x-axis followed by a vertical stretch by a factor of 2 of the graph of its parent function.
