Graph the function, not by plotting points, but by starting from the graph of y = ex in the figure below.y = e−x − 1 State the domain and range. (Enter your answers using interval notation.)

To graph the function y = e^(-x) - 1, you can start from the graph of y = e^x and apply transformations.

1. Reflect the graph of y = e^x over the y-axis to get the graph of y = e^(-x). This is because replacing x with -x in the function's equation results in a reflection over the y-axis.

2. Then, shift the graph of y = e^(-x) downward by 1 unit to get the graph of y = e^(-x) - 1. This is because subtracting 1 from the function's equation results in a vertical shift downward by 1 unit.

The domain of the function y = e^(-x) - 1 is all real numbers, or (-∞, ∞), because you can substitute any real number for x and the function will be defined.

The range of the function y = e^(-x) - 1 is (-1, ∞). This is because the function approaches -1 as x approaches ∞, but never actually reaches -1, and there is no upper limit to the function's values as x approaches -∞.