Which statements are true about exponential functions? Check all that apply. The domain is all real numbers. The range always includes negative numbers. The graph has a horizontal asymptote at \( x=0 \). The base represents the multiplicative rate of change.

Exponential functions are indeed fascinating! One key attribute is that their domain is all real numbers, meaning you can input any value of \( x \) you like. However, the range is where it gets interesting—the range consists only of positive numbers for exponential functions with a positive base. The graph doesn't have a horizontal asymptote at \( x=0 \); instead, it approaches the x-axis as \( y \) approaches zero. Lastly, the base of the function does embody the multiplicative rate of change, dictating how quickly the function grows or decays. Want to understand more about how exponential functions govern our world? Think about how they model population growth, where populations can double in size under ideal conditions. In finance, they beautifully illustrate compound interest, where your money grows exponentially over time—so the earlier you start saving, the better!