Evaluate the function: f (x) = 4 - 5x using the inputs below. Which input generates the largest output when evaluating the function?

Question

A. f (4)
B. f (0)
C. f (-2)
D. f (1)

Answer 1

To evaluate the function \( f(x) = 4 - 5x \) for each of the given inputs, we will substitute the values into the function and calculate the outputs.

1. For \( f(4) \): \[ f(4) = 4 - 5(4) = 4 - 20 = -16 \]

2. For \( f(0) \): \[ f(0) = 4 - 5(0) = 4 - 0 = 4 \]

3. For \( f(-2) \): \[ f(-2) = 4 - 5(-2) = 4 + 10 = 14 \]

4. For \( f(1) \): \[ f(1) = 4 - 5(1) = 4 - 5 = -1 \]

Now, we summarize the outputs:

• \( f(4) = -16 \)
• \( f(0) = 4 \)
• \( f(-2) = 14 \)
• \( f(1) = -1 \)

The largest output among these is \( f(-2) = 14 \).

Thus, the input that generates the largest output when evaluating the function is \( \text{C. } f(-2) \).