Question

What are the domain and range of the exponential decay function?

A. Domain: All real numbers, Range: (0, [infinity])
B. Domain: (0, [infinity]), Range: All real numbers
C. Domain: All real numbers, Range: (-[infinity], 0)
D. Domain: (-[infinity], 0), Range: All real numbers

Answer 1

The correct domain and range of the exponential decay function are all real numbers for the domain, and positive real numbers excluding zero for the range.

Step-by-step explanation:

The domain and range of the exponential decay function correspond to option A: Domain: All real numbers, Range: (0, ∞). The domain of an exponential decay function includes all real numbers, meaning that we can input any real number into the function. Conversely, the range of an exponential decay function is (0, ∞) because the output of this type of function is always positive but never reaches zero, as the function approaches zero asymptotically as the input values increase.