4

Set 12: Exponential Functions

Explanation

Answer: B

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)

✓ Correct
C.

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

D.

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

Detailed Explanation

Choice B is correct. Choice B is the correct answer. Exponential functions have a constant ratio between consecutive terms. 1. Check A: 42=2,64=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: 32=1,53=23 -2=1, 5-3=2. Not constant. 4. Check D: 910=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.

Key Steps:

The correct answer is (0, 2), (1, 4), (2, 8), (3, 16)

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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