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Function [tex]f[/tex] has a domain of [tex]-\infty < x < \infty[/tex] and a range of [tex]0 < y < \infty[/tex]. The function approaches [tex]\underline 0[/tex] as [tex]x[/tex] increases.

The domain of the function f(x) is -∞ < x <∞ and the range of the function is y > 0

How to determine the domain and the range?

The equation of the function is given as:

f(x) = (1/2)^x

The above function is an exponential function, and an exponential function has the following properties

  • Domain of all set of real numbers
  • Range of numbers greater than 0

Hence, the domain of f(x) is -∞ < x <∞ and the range is y > 0

Read more about domain and range at:

https://brainly.com/question/10197594

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