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what are the domain and range of (f(x) = 2(3^x))? domain: ((-infty, inf…

Question

what are the domain and range of (f(x) = 2(3^x))?

domain: ((-infty, infty)); range: ((0, infty))
domain: ((-infty, infty)); range: ((2, infty))
domain: ((0, infty)); range: ((-infty, infty))
domain: ((2, infty)); range: ((-infty, infty))

Explanation:

Determine the domain of the exponential function

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Determine the range of the exponential function

$$ LATEXBLOCK1 $$

Answer:

  • domain: \((-\infty,\infty)\); range: \((0,\infty)\) (Correct answer)
  • domain: \((-\infty,\infty)\); range: \((2,\infty)\)
  • domain: \((0,\infty)\); range: \((-\infty,\infty)\)
  • domain: \((2,\infty)\); range: \((-\infty,\infty)\)