6
advanced-math

Which table of values represents an exponential function?

A

(0, 2), (1, 4), (2, 6), (3, 8)

B

(0, 2), (1, 4), (2, 8), (3, 16)

C

(0, 2), (1, 3), (2, 5), (3, 8)

D

(0, 10), (1, 9), (2, 8), (3, 7)

Correct Answer: B

Choice B is the correct answer. Exponential functions have a constant ratio between consecutive terms.

  1. Check A: 4−2=2,6−4=24-2=2, 6-4=2. Constant difference (Linear).
  2. Check B: 4/2=2,8/4=2,16/8=24/2=2, 8/4=2, 16/8=2. Constant ratio (Exponential).
  3. Check C: 3−2=1,5−3=23-2=1, 5-3=2. Not constant.
  4. Check D: 9−10=−19-10=-1. Constant difference (Linear).

💡 Strategic Tip: Additive pattern = Linear. Multiplicative pattern = Exponential.

Choice A is incorrect because it adds 2 each time. Choice D is incorrect because it subtracts 1 each time.

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Set 22: Exponential Functions 22