The correct answer is D. No, all of the x-values have a constant difference, but all of the y-values do not have a constant ratio.
In an exponential function, the x-values would have a constant ratio as they increase or decrease, while the y-values would have a constant ratio as they increase or decrease. In this table, the x-values have a constant difference (0.1) as they increase by 0.1 each time, but the y-values do not have a constant ratio as they increase by 4, then by 16, then by 12. Therefore, this table does not represent an exponential function.
Determine whether the following table represents and exponential function. Explain why or why not.
x= 0,1.2.3
y=12,16,32,44
A. No, all of the x-values have a constant ratio, but all of the y-values do not have a constant difference.
B. Yes, all of the x-values have a constant ratio, and all of the y-values have a constant difference.
C. Yes, all of the x-values have a constant difference, and all of the y-values have a constant ratio.
D. No, all of the x-values have a constant difference, but all of the y-values do not have a constant ratio.
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