Naming, Evaluating, & Interpreting Functions Quick Check

Question

3 of 53 of 5 Items

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(2)
f left parenthesis 2 right parenthesis

f(5)
f left parenthesis 5 right parenthesis

f(0)
f left parenthesis 0 right parenthesis

f(3)
f left parenthesis 3 right parenthesis
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Answer 1

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

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

2. Evaluate \( f(5) \): \[ f(5) = 3 - 2(5) = 3 - 10 = -7 \]

3. Evaluate \( f(0) \): \[ f(0) = 3 - 2(0) = 3 - 0 = 3 \]

4. Evaluate \( f(3) \): \[ f(3) = 3 - 2(3) = 3 - 6 = -3 \]

Now, we can summarize the outputs:

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

Among these values, the largest output is: \[ f(0) = 3 \]

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