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(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)

Answer 1

To evaluate the function \( f(x) = 3 - 2x \) for the given inputs, we will calculate the output for each input value.

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

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

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

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

Now let's summarize the outputs:

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

The largest output occurs at \( f(0) \), which is 3.

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