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(2)
f left parenthesis 2 right parenthesis

f(5)
f left parenthesis 5 right parenthesis

f(0)
f left parenthesis 0 right parenthesis

f(3)

Answer 1

To evaluate the function \( f(x) = 3 - 2x \) for each input, we will substitute the values of \( x \):

1. **For \( x = 2 \)**:
\[
f(2) = 3 - 2(2) = 3 - 4 = -1
\]

2. **For \( x = 5 \)**:
\[
f(5) = 3 - 2(5) = 3 - 10 = -7
\]

3. **For \( x = 0 \)**:
\[
f(0) = 3 - 2(0) = 3 - 0 = 3
\]

4. **For \( x = 3 \)**:
\[
f(3) = 3 - 2(3) = 3 - 6 = -3
\]

Now we can summarize the outputs:
- \( f(2) = -1 \)
- \( f(5) = -7 \)
- \( f(0) = 3 \)
- \( f(3) = -3 \)

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

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