To find the y-values for the function \( y = 5(14)^x \) for the given x-values, we need to substitute each x-value into the equation.
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For \( x = -2 \): \[ y = 5(14)^{-2} = 5 \cdot \frac{1}{(14^2)} = 5 \cdot \frac{1}{196} \approx 0.02551 \]
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For \( x = -1 \): \[ y = 5(14)^{-1} = 5 \cdot \frac{1}{14} \approx 0.35714 \]
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For \( x = 0 \): \[ y = 5(14)^0 = 5 \cdot 1 = 5 \]
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For \( x = 1 \): \[ y = 5(14)^1 = 5 \cdot 14 = 70 \]
Now let's summarize the ordered pairs:
- For \( x = -2 \): \( y \approx 0.02551 \) (Rounded for simplicity)
- For \( x = -1 \): \( y \approx 0.35714 \)
- For \( x = 0 \): \( y = 5 \)
- For \( x = 1 \): \( y = 70 \)
None of the provided answer choices match the correct calculations, but we can derive the pairs:
- \( (-2, 0.02551) \)
- \( (-1, 0.35714) \)
- \( (0, 5) \)
- \( (1, 70) \)
If you want the closest approximation based on the context of your options, the correct approach is to analyze the values provided in the options, but none are correct for the calculations shown. The original function outputs should be compared for any contradictions based on what the question might have expected.