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(0)
f left parenthesis 0 right parenthesis

f(3)
f left parenthesis 3 right parenthesis

f(2)
f left parenthesis 2 right parenthesis

Answer 1

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

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

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

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

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

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

Among these results, the largest output is:
\[
f(0) = 3
\]

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