Question

if this graph of f(x)=a^(x+g) +k then;

A. the domain is (h,∞) and the range is (-∞,∞)
B. the domain is (-∞,∞) and the range is (h,∞)
C. the domain is (h,∞) and the range is (k,∞)
D. the domain is (-∞,∞) and the range is (k,∞)

Answer 1

The correct option regarding the domain and the range of the function f(x)=$a^{x+g} +k$ is given by that the domain is (-∞,∞) and the range of the function is (k,∞).

Given a function f(x)=$a^{x+g} +k$.

We are told to find the domain and range of the function.

The domain is basically the values which we enters in a function.

The range is basically the values which we are getting by entering some values in the function.

An exponential function is given in the function which has no restrictions hence the domain is  (-∞,∞).The range depends on the vertical shift given by k. Hence the range of function is (k,∞).

Hence the correct option regarding the domain and the range of the function f(x)=$a^{x+g} +k$ is given by that the domain is (-∞,∞) and the range of the function is (k,∞).

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