To evaluate the function \( f(x) = 4 - 5x \) and determine which input generates the largest output, you can calculate the value of \( f(x) \) for each input you have. However, since you have not provided a specific list of inputs, I can explain how to analyze the function.
Analysis
The function \( f(x) = 4 - 5x \) is a linear function. The slope is negative (-5), which means that as \( x \) increases, \( f(x) \) will decrease. Therefore, the largest output will occur at the smallest value of \( x \).
Steps to Evaluate
- Identify the Inputs: List the values of \( x \) that you want to evaluate.
- Calculate \( f(x) \): Substitute each value of \( x \) into the function to compute \( f(x) \).
- Compare Outputs: Find which output is the largest.
Example
If you had the inputs \( x = 0, 1, 2, 3 \):
- \( f(0) = 4 - 5(0) = 4 \)
- \( f(1) = 4 - 5(1) = -1 \)
- \( f(2) = 4 - 5(2) = -6 \)
- \( f(3) = 4 - 5(3) = -11 \)
In this example, the output is largest when \( x = 0 \), yielding \( f(0) = 4 \).
If you provide the specific inputs you are considering, I can help you compute their values.
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