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(5)
f left parenthesis 5 right parenthesis

f(2)
f left parenthesis 2 right parenthesis

f(0)
f left parenthesis 0 right parenthesis

f(3)

Answer 1

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.

1. \( f(5) = 3 - 2(5) = 3 - 10 = -7 \)
2. \( f(2) = 3 - 2(2) = 3 - 4 = -1 \)
3. \( f(0) = 3 - 2(0) = 3 - 0 = 3 \)
4. \( f(3) = 3 - 2(3) = 3 - 6 = -3 \)

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 \( f(0) \).