Question

Evaluate the function of the following input f of x = 3 - 2x which input generates the largest output when evaluating the function 5,2,3 or 0

Answer 1

To find which input generates the largest output for the function \( f(x) = 3 - 2x \), we will evaluate the function at each of the given inputs: 5, 2, 3, and 0.

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

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

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

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

Now, we compare the outputs:
- \( f(5) = -7 \)
- \( f(2) = -1 \)
- \( f(3) = -3 \)
- \( f(0) = 3 \)

The largest output is \( 3 \), which occurs when \( x = 0 \).

Thus, the input that generates the largest output is \( 0 \).