If this is the graph of f(x) = a^(x+h) + k then

The domain is (-∞,∞) and range is (k,∞)

Step-by-step explanation:

The graph is given as .

When x =0, we have f(x) = y intercept

Consider the exponential function y = .

This is defined for domain all real numbers and range = (0,infinity) for all positive a.

This function is transformed into our function by horizontal shift of h units to left and vertical units of k units up.

i.e. Y = y-k and X = x-h

Since x has domain as set of all real numbers X also set of real numbers

So domain is (-∞,∞)

Since range of original graph is (0,∞), we have Y minimum value as k and max as infinity.

Range = (k,∞)

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step-by-step explanation:

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