To determine which input generates the largest output for the function \( f(x) = 3 - 2x \), we will evaluate the function at each of the given inputs: 5, 2, 0, and 3.
- \( f(5) = 3 - 2(5) = 3 - 10 = -7 \)
- \( f(2) = 3 - 2(2) = 3 - 4 = -1 \)
- \( f(0) = 3 - 2(0) = 3 - 0 = 3 \)
- \( f(3) = 3 - 2(3) = 3 - 6 = -3 \)
Now, we compare the outputs:
- \( f(5) = -7 \)
- \( f(2) = -1 \)
- \( f(0) = 3 \)
- \( f(3) = -3 \)
The largest output is \( f(0) = 3 \).
Thus, the input that generates the largest output is \( f(0) \).