Question

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

1. F(0)
2. F(5)
3. F(2)
4. F(3)

Answer 1

To evaluate the function \( f(x) = 3 - 2x \) for each of the given inputs, we will substitute each value into the function.

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

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

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

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

Now we will compare the outputs:

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

The largest output is \( 3 \), which corresponds to the input \( 0 \).

Thus, the input that generates the largest output when evaluating the function is **1. F(0)**.