f(x)=3−2x

Question

. Which input generates the largest output when evaluating the function?(1 point)
Responses

f(3)
f left parenthesis 3 right parenthesis

f(2)
f left parenthesis 2 right parenthesis

f(0)
f left parenthesis 0 right parenthesis

f(5)

Answer 1

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

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

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

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

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

Now we compare the outputs:

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

The largest output is \( f(0) = 3 \). Therefore, the input that generates the largest output is \( f(0) \).