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

Question

f
(
x
)
=
3
−
2
x
. Which input generates the largest output when evaluating the function?(1 point)
Responses

f(3)
f
(
3
)
f left parenthesis 3 right parenthesis

f(0)
f
(
0
)
f left parenthesis 0 right parenthesis

f(5)
f
(
5
)
f left parenthesis 5 right parenthesis

f(2)

Answer 1

To find which input generates the largest output for the function \( f(x) = 3 - 2x \), we will evaluate the function for each input provided: 3, 0, 5, and 2.

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

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

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

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

Now let's summarize the outputs:

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

The largest output is \( f(0) = 3 \).

Thus, the input that generates the largest output is:

f(0)