Question

Question

Evaluate the function for the following input: f(x)=3−2x. Which input generates the largest output when evaluating the function?(1 point)
Responses

f(0)
f left parenthesis 0 right parenthesis

f(3)
f left parenthesis 3 right parenthesis

f(2)
f left parenthesis 2 right parenthesis

f(5)

Answer 1

To evaluate the function \( f(x) = 3 - 2x \) for the given inputs, we will calculate \( f(0) \), \( f(3) \), \( f(2) \), and \( f(5) \).

1. \( f(0) = 3 - 2(0) = 3 - 0 = 3 \)
2. \( f(3) = 3 - 2(3) = 3 - 6 = -3 \)
3. \( f(2) = 3 - 2(2) = 3 - 4 = -1 \)
4. \( f(5) = 3 - 2(5) = 3 - 10 = -7 \)

Now we compare the outputs:

• \( f(0) = 3 \)
• \( f(3) = -3 \)
• \( f(2) = -1 \)
• \( f(5) = -7 \)

The largest output occurs at \( f(0) \), which is \( 3 \).

Therefore, the input that generates the largest output is f(0).