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(2)
f left parenthesis 2 right parenthesis

f(5)
f left parenthesis 5 right parenthesis

f(3)
f left parenthesis 3 right parenthesis

f(0)

1 answer

To determine which input generates the largest output for the function \( f(x) = 3 - 2x \), we can evaluate the function at each given input.

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

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

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

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

Now, we can summarize the outputs:

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

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

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

\(\boxed{f(0)}\)