Function k is a transformation of the parent exponential function f. What are the domain and range of function k?Function k is a transformation of the parent exponential function f. What are the domain and range of function k?

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Answer and Step-by-step explanation:

The domain of the exponential function is whole real line numbers. The range of an exponential function is only positive real numbers.

The domain of a function is a set of input (x) values in which the function is defined, and the range of a function is a set of output (y) values that a function takes.

Let an exponential function:  f(x) = 2x, the domain of this function is whole real line numbers, and the range is only positive numbers on the real line. When y > 0, f(x) never take negative values and never approaches to zero.

Suppose we change the function by replacing x to –x. the domain and range do not change.

If we have a negative exponential function: f(x) = - 2x, then the domain is the same (whole real line numbers), but the range is negative numbers because of y < 0.

In general, the basic exponential function y = ax, defined as  ∞ to 0 when 0 < a < 1 and x varies from -∞ to ∞ and rises from o to ∞ as a > 1.