To find the ordered pairs for the function \( y = 5(14)^x \), we will calculate the y-values for the given x-values of -2, -1, 0, and 1.
-
For \( x = -2 \): \[ y = 5(14)^{-2} = 5 \times \frac{1}{14^2} = 5 \times \frac{1}{196} = \frac{5}{196} \approx 0.0256 \]
-
For \( x = -1 \): \[ y = 5(14)^{-1} = 5 \times \frac{1}{14} \approx 5 \times 0.0714 \approx 0.3571 \]
-
For \( x = 0 \): \[ y = 5(14)^0 = 5 \times 1 = 5 \]
-
For \( x = 1 \): \[ y = 5(14)^1 = 5 \times 14 = 70 \]
Now, we can form the ordered pairs based on these calculations:
- For \( x = -2 \), \( y \approx 0.0256 \) (not among the choices).
- For \( x = -1 \), \( y \approx 0.3571 \) (not among the choices).
- For \( x = 0 \), \( y = 5 \).
- For \( x = 1 \), \( y = 70 \) (not among the choices).
Since it appears that the choices provided do not match our calculations, let's double-check the expected answers mentioned.
Based on this corrected understanding, let's verify if they match:
- \( (-2, 0.0256) \)
- \( (-1, 0.3571) \)
- \( (0, 5) \)
- \( (1, 70) \)
None of the answer options closely reflect these results, so there seems to be an error or misunderstanding with the provided alternatives.
However, if you go by the ordered pairs you calculated:
- None of the listed options in your responses are correct based on the given function.
If you're looking for an answer based on the responses given, it appears none are correct based on the calculations provided for the function \( y = 5(14)^x \). If there is a mistake in how the responses were interpreted or presented, please clarify.