To find the y-values for the function \( y = 5(14)^x \) at the given x-values of -2, -1, 0, and 1, let's calculate each one:
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For \( x = -2 \): \[ y = 5(14)^{-2} = 5 \cdot \frac{1}{14^2} = 5 \cdot \frac{1}{196} = \frac{5}{196} \approx 0.0256 \]
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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 have the ordered pairs:
- For \( x = -2 \), \( y \approx 0.0256 \)
- For \( x = -1 \), \( y \approx 0.3571 \)
- For \( x = 0 \), \( y = 5 \)
- For \( x = 1 \), \( y = 70 \)
Thus, the ordered pairs are approximately:
- \( (-2, 0.0256) \)
- \( (-1, 0.3571) \)
- \( (0, 5) \)
- \( (1, 70) \)
None of the provided options match the calculated values since they don't accurately represent the function's output at the specified input. If you need a specific choice from the answers provided, please check if there's either a mistake in the choices or in the evaluation of the function given.