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advanced-mathWhich of the following functions represents exponential growth?
A
B
C
D
Correct Answer: B
Choice B is the correct answer. Exponential growth occurs when the base is greater than 1.
- Recall: For , if , the function grows. If , it decays.
- Analyze Choice A: (Decay).
- Analyze Choice B: (Growth).
- Analyze Choice C: (Decay).
- Analyze Choice D: is constant (1), or if interpreted as it would be decay. But typically , which is constant.
💡 Strategic Tip: Look strictly at the number inside the parentheses (the base). If it's bigger than 1, it's growth.
Choice A is incorrect because the base 0.95 is less than 1. Choice C is incorrect because the base 0.2 is less than 1. Choice D is incorrect because a base of 1 does not change, or a negative exponent on a base would imply decay.