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3.

Find the range of ƒ(x) = 3x – 5 for the domain {–1.5, 2, 4}.

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To find the range of the function \( f(x) = 3x - 5 \) for the given domain \( {-1.5, 2, 4} \), we will evaluate the function at each point in the domain:

  1. Calculate \( f(-1.5) \): \[ f(-1.5) = 3(-1.5) - 5 = -4.5 - 5 = -9.5 \]

  2. Calculate \( f(2) \): \[ f(2) = 3(2) - 5 = 6 - 5 = 1 \]

  3. Calculate \( f(4) \): \[ f(4) = 3(4) - 5 = 12 - 5 = 7 \]

Now, let's list the function values:

  • \( f(-1.5) = -9.5 \)
  • \( f(2) = 1 \)
  • \( f(4) = 7 \)

Therefore, the range of \( f(x) \) for the domain \( {-1.5, 2, 4} \) is: \[ {-9.5, 1, 7} \]