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(5)
f left parenthesis 5 right parenthesis

f(3)
f left parenthesis 3 right parenthesis

f(2)
f left parenthesis 2 right parenthesis

f(0)
f left parenthesis 0 right parenthesis

1 answer

To evaluate the function \( f(x) = 3 - 2x \) for each of the given inputs, we will substitute each input value into the function and determine the corresponding outputs.

  1. Evaluating \( f(5) \): \[ f(5) = 3 - 2(5) = 3 - 10 = -7 \]

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

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

  4. Evaluating \( f(0) \): \[ f(0) = 3 - 2(0) = 3 - 0 = 3 \]

Now, we can summarize the outputs:

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

Among these outputs, the largest is \( f(0) = 3 \).

Thus, the input that generates the largest output when evaluating the function is:

f(0).