Set 9: Exponential Functions

Choice A is correct. Choice A is the correct answer. Compare growth factors. 1. Function A: Base $b = 1.5$. 2. Function B: Base $b = 2$. 3. Comparison: $2> 1.5$, so Function B grows faster despite smaller initial value. 4. Long-term: As $x \to \infty$, the base matters more than the coefficient. Strategic Tip: Larger base = faster exponential growth in the long run. Choice B is incorrect because Function A has a smaller base. Choice C is incorrect because different bases mean different growth rates. Choice D is incorrect because we can compare the bases.