Evaluate the function for the following input: f(x)=3−2x

Question

. 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 \( f(0) \).