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(0)
f left parenthesis 0 right parenthesis

f(3)
f left parenthesis 3 right parenthesis

f(5)
f left parenthesis 5 right parenthesis

f(2)

Answer 1

To evaluate the function \( f(x) = 3 - 2x \) for the given inputs, we'll calculate \( f(0) \), \( f(3) \), \( f(5) \), and \( f(2) \).

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

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

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

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

Now, let's summarize the outputs:

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

The largest output occurs at \( f(0) = 3 \).

Thus, the input that generates the largest output when evaluating the function is \( \boxed{f(0)} \).