What are the domain, range, and asymptote of h(x) = (0.5)x – 9?

Interpreting h(x) as the exponential function h(x) = (0.5)^x − 9, its exponent can be any real number, so the domain is all real numbers. Since (0.5)^x is always positive, subtracting 9 makes every output greater than −9, giving range y > −9. The graph approaches y = −9 but never reaches it, so y = −9 is the horizontal asymptote.

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