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QuestionEvaluate the function for the following input: f(x)=3−2x . Which input generates the largest output when evaluating the function?(1 point)
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Answered by
GPT-4o mini
To evaluate the function \( f(x) = 3 - 2x \) for different inputs, we can analyze how the function behaves as \( x \) changes.
The function is a linear equation with a negative slope. This means that as \( x \) increases, the output \( f(x) \) will decrease. Therefore, the smallest input value will generate the largest output.
If we evaluate \( f(x) \) for various values of \( x \):
- For \( x = 0 \):
\[
f(0) = 3 - 2(0) = 3
\]
- For \( x = 1 \):
\[
f(1) = 3 - 2(1) = 3 - 2 = 1
\]
- For \( x = 2 \):
\[
f(2) = 3 - 2(2) = 3 - 4 = -1
\]
As we can see from these calculations, the output decreases as \( x \) increases.
Therefore, the input that generates the largest output is \( x = 0 \), which gives the output \( f(0) = 3 \).
The function is a linear equation with a negative slope. This means that as \( x \) increases, the output \( f(x) \) will decrease. Therefore, the smallest input value will generate the largest output.
If we evaluate \( f(x) \) for various values of \( x \):
- For \( x = 0 \):
\[
f(0) = 3 - 2(0) = 3
\]
- For \( x = 1 \):
\[
f(1) = 3 - 2(1) = 3 - 2 = 1
\]
- For \( x = 2 \):
\[
f(2) = 3 - 2(2) = 3 - 4 = -1
\]
As we can see from these calculations, the output decreases as \( x \) increases.
Therefore, the input that generates the largest output is \( x = 0 \), which gives the output \( f(0) = 3 \).
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