We want to draw a graph of the given exponential function. f(x)=-2(4)x
Let's make a table of values.
The ordered pairs (-3,-0.0313), (-2,-0.125), (-1,-0.5), (0,-2), (1,-8), and (2,-32) all lie on the graph of the function. Now, we will plot and connect these points with a smooth curve.
We can see in the graph that the range is all real numbers less than zero. The domain of exponential functions is all real numbers. Domain:Range: all real numbers y<0