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

domain: {x | x > 9}; range: {y | y is a real number}; asymptote: y = 9
domain: {x | x > –9}; range: {y | y is a real number}; asymptote: y = –9
domain: {x | x is a real number}; range: {y | y > 9}; asymptote: y = 9
domain: {x | x is a real number}; range: {y | y > –9}; asymptote: y = –9

Answer :

Using exponential function concepts, it is found that the correct option is:

domain: {x | x is a real number}; range: {y | y > –9}; asymptote: y = –9

What is an exponential function?

An exponential function is modeled by:

[tex]y = b^x + c[/tex]

As for the characteristics of the function, we have that:

  • The domain is of all real numbers.
  • The range is the values of y greater than c, that is, {y| y > c}.
  • The asymptote is y = c.

In this problem, the function is:

[tex]h(x) = 0.5^x - 9[/tex]

Hence c = -9, and the correct option is:

domain: {x | x is a real number}; range: {y | y > –9}; asymptote: y = –9

You can learn more about exponential function concepts at https://brainly.com/question/25537936

D should be the correct answer

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