Set 15: Exponential Functions (Intermediate)

Choice A is correct. Choice A is the correct answer. Analyze properties of exponential functions. 1. Domain: You can raise $b$ to any real power, so domain is all real numbers ✓ 2. Range: For $a > 0$ and $b > 0$, output is always positive (no x-intercept). 3. Shape: Exponential functions curve, not straight. Strategic Tip: Standard exponential $y = ab^x$ (with $a, b > 0$) never touches the x-axis. Choice B is incorrect because $ab^x > 0$ for all $x$ when $a, b > 0$. Choice C is incorrect because the graph approaches but never reaches $y = 0$. Choice D is incorrect because exponential functions are not linear.