To find the ordered pairs for the function \( y = 5(14)^x \) for the given x-values of -2, -1, 0, and 1, we will calculate the corresponding y-values.
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For \( x = -2 \): \[ y = 5(14)^{-2} = 5 \cdot \frac{1}{14^2} = 5 \cdot \frac{1}{196} = \frac{5}{196} \approx 0.0255 \] So, the ordered pair is \( (-2, 0.0255) \).
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For \( x = -1 \): \[ y = 5(14)^{-1} = 5 \cdot \frac{1}{14} = \frac{5}{14} \approx 0.3571 \] So, the ordered pair is \( (-1, 0.3571) \).
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For \( x = 0 \): \[ y = 5(14)^0 = 5 \cdot 1 = 5 \] So, the ordered pair is \( (0, 5) \).
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For \( x = 1 \): \[ y = 5(14)^1 = 5 \cdot 14 = 70 \] So, the ordered pair is \( (1, 70) \).
Summary of Ordered Pairs:
- \( (-2, 0.0255) \)
- \( (-1, 0.3571) \)
- \( (0, 5) \)
- \( (1, 70) \)
These represent the points you would plot on the graph of the function \( y = 5(14)^x \).