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

Question

A. f(3)
B. f(2)
C. f(0)
D. f(5)

Answer 1

To determine which input generates the largest output for the function \( f(x) = 3 - 2x \), we can evaluate the function at each of the given inputs.

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

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

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

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

Now we can summarize the outputs:

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

From these evaluations, it is clear that the largest output is from \( f(0) = 3 \).

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