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17-06-2024
Mathematics

Answered

What are the domain, range, and asymptote of [tex][tex][tex]\( h(x) = (0.5)^x - 9 \)[/tex][/tex][/tex]?

A. domain: [tex][tex][tex]\( \{x \mid x \ \textgreater \ 9\} \)[/tex][/tex][/tex]; range: [tex][tex][tex]\( \{y \mid y \text{ is a real number}\} \)[/tex][/tex][/tex]; asymptote: [tex][tex][tex]\( y = 9 \)[/tex][/tex][/tex]

B. domain: [tex][tex][tex]\( \{x \mid x \ \textgreater \ -9\} \)[/tex][/tex][/tex]; range: [tex][tex][tex]\( \{y \mid y \text{ is a real number}\} \)[/tex][/tex][/tex]; asymptote: [tex][tex][tex]\( y = -9 \)[/tex][/tex][/tex]

C. domain: [tex][tex][tex]\( \{x \mid x \text{ is a real number}\} \)[/tex][/tex][/tex]; range: [tex][tex][tex]\( \{y \mid y \ \textgreater \ 9\} \)[/tex][/tex][/tex]; asymptote: [tex][tex][tex]\( y = 9 \)[/tex][/tex][/tex]

D. domain: [tex][tex][tex]\( \{x \mid x \text{ is a real number}\} \)[/tex][/tex][/tex]; range: [tex][tex][tex]\( \{y \mid y \ \textgreater \ -9\} \)[/tex][/tex][/tex]; asymptote: [tex][tex][tex]\( y = -9 \)[/tex][/tex][/tex]

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