evaluate the function f(x) = 4 - 5x using the inputs below which input generates the largest output when evaluating the function

Question

f(1)
f(0)
f(4)
f(-2)

Answer 1

To evaluate the function \( f(x) = 4 - 5x \) for the given inputs, we'll compute the output for each value of \( x \).

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

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

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

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

Now, let's summarize the outputs for each input:

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

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

So the input that generates the largest output is \( \boxed{-2} \).