Asked by T-Swizzle

Evaluate the function: f (x) = 4 - 5x using the inputs below. Which input generates the largest output when evaluating the function?
A. f (4)
B. f (0)
C. f (-2)
D. f (1)

Answers

Answered by GPT-4o mini
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 \( \text{C. } f(-2) \).

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