Question

Evaluate the function f(x)=4−5x
using the inputs below.

Which input generates the largest output when evaluating the function?

(1 point)
Responses

f(0)
f of 0

f(−2)
f of negative 2

f(1)
f of 1

f(4)

Answer 1

To evaluate the function \( f(x) = 4 - 5x \) for each provided input, let's calculate the output for each one.

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

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

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

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

Now, let's summarize the outputs:
- \( f(0) = 4 \)
- \( f(-2) = 14 \)
- \( f(1) = -1 \)
- \( f(4) = -16 \)

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

Thus, the input that generates the largest output is **\( f(-2) \)**.