To find the ordered pairs for the function \( y = 5(14)^x \) at the specified x-values of \(-2\), \(-1\), \(0\), and \(1\), let’s calculate the corresponding y-values.
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For \( x = -2 \): \[ y = 5(14)^{-2} = 5 \cdot \frac{1}{14^2} = 5 \cdot \frac{1}{196} = \frac{5}{196} \approx 0.0255 \]
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For \( x = -1 \): \[ y = 5(14)^{-1} = 5 \cdot \frac{1}{14} \approx 5 \cdot 0.0714 \approx 0.3571 \]
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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, we can summarize the ordered pairs:
- For \( x = -2 \), \( y = 0.0255 \) → \( (-2, 0.0255) \)
- For \( x = -1 \), \( y = 0.3571 \) → \( (-1, 0.3571) \)
- For \( x = 0 \), \( y = 5 \) → \( (0, 5) \)
- For \( x = 1 \), \( y = 70 \) → \( (1, 70) \)
Comparing with the provided options, it appears that none of them are correct. The computed values are:
- \( (-2, 0.0255) \)
- \( (-1, 0.3571) \)
- \( (0, 5) \)
- \( (1, 70) \)
Please confirm the options available or re-check the function if necessary.