Set 10: Exponential Functions (Advanced)

Choice A is correct. Choice A is the correct answer. Evaluate at $x = -1$. 1. Substitute: $f(-1) = 200(3)^{-1}$. 2. Negative Exponent: $(3)^{-1} = \frac{1}{3}$. 3. Calculate: $200\cdot \frac{1}{3} = \frac{200}{3}$. Strategic Tip: Negative exponent: $b^{-x} = \frac{1}{b^x}$. Choice B is incorrect because negative exponent doesn't make the result negative. Choice C is incorrect because this suggests subtraction ($200- 3$). Choice D is incorrect because this is $200\times 3$, not division.