Set 9: Exponential Functions (Advanced)

Choice A is correct. Choice A is the correct answer. Analyze the behavior as $x \to \infty$. 1. Base: $b = 1.2 > 1$ means exponential growth. 2. Behavior: As $x$ increases, $(1.2)^x$ grows larger and larger. 3. Conclusion: $y = 50(1.2)^x$ increases without bound. Strategic Tip: For exponential growth ($b > 1$), the function grows indefinitely as $x$ increases. Choice B is incorrect because this describes decay ($b < 1$), not growth. Choice C is incorrect because 50 is the initial value, not a limiting value. Choice D is incorrect because $y$ is not constant; it grows exponentially.