9
advanced-math

Identify the function for the table:

xy
03
112
248
A

y=3(4)xy = 3(4)^x

B

y=4(3)xy = 4(3)^x

C

y=3(12)xy = 3(12)^x

D

y=12(3)xy = 12(3)^x

Correct Answer: A

Choice A is the correct answer. Check initial value and multiplier.

  1. Initial: At x=0,y=3x=0, y=3. So a=3a=3.
  2. Ratio: 12/3=412/3 = 4, 48/12=448/12 = 4. So b=4b=4.
  3. Equation: y=3(4)xy = 3(4)^x.

💡 Strategic Tip: The multiplier between consecutive y-values is the base.

Choice B is incorrect because it swaps aa and bb. Choice C is incorrect because it uses the second y-value as the base.

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Set 24: Exponential Functions 24