Question

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

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

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

f(2)
𝑓
(
2
)
f left parenthesis 2 right parenthesis

f(3)

Answer 1

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

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

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

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

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

Now, we can summarize the outputs:

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

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

Therefore, the input that generates the largest output when evaluating the function is:

**\( f(0) \)**.