Determine whether the equation below is exponential growth or decay. \( f(x)=(.74)^{x} \) growth decay

The equation \( f(x)=(0.74)^{x} \) represents exponential decay because the base \( 0.74 \) is less than 1. In exponential decay, as \( x \) increases, the value of \( f(x) \) decreases towards zero, showcasing the process of decline. So, with each increment in \( x \), the function shrinks—a hallmark of decay! One fun fact about exponential decay is that it's commonly observed in real-life scenarios, such as radioactive decay! In this process, unstable nuclei lose energy by emitting radiation, and the rate of decay can often be modeled exponentially. So, when you think of something fading away, just picture the formula and how it plays out in nature!