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Question

Evaluate the function for the following input: f(x)=3−2x
. Which input generates the largest output when evaluating the function?(1 point)
Responses

f(0)
f left parenthesis 0 right parenthesis

f(3)
f left parenthesis 3 right parenthesis

f(2)
f left parenthesis 2 right parenthesis

f(5)

1 answer

To evaluate the function \( f(x) = 3 - 2x \) for the given inputs, we can calculate \( f(0) \), \( f(3) \), \( f(2) \), and \( f(5) \).

  1. Calculate \( f(0) \): \[ f(0) = 3 - 2(0) = 3 - 0 = 3 \]

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

  3. Calculate \( f(2) \): \[ f(2) = 3 - 2(2) = 3 - 4 = -1 \]

  4. Calculate \( f(5) \): \[ f(5) = 3 - 2(5) = 3 - 10 = -7 \]

Now we have the following outputs:

  • \( f(0) = 3 \)
  • \( f(3) = -3 \)
  • \( f(2) = -1 \)
  • \( f(5) = -7 \)

The largest output is \( f(0) = 3 \).

Therefore, the input that generates the largest output is \( f(0) \).