Function \( f \) is defined by \( f(x)=5^{x} \). Select the \( y \) intercept of the function. 1 5 6

To find the \( y \)-intercept of the function \( f(x) = 5^x \), we need to evaluate \( f(0) \). When \( x = 0 \): \[ f(0) = 5^0 = 1 \] Thus, the \( y \)-intercept of the function is \( 1 \). Now, did you know that exponential functions like \( f(x) = 5^x \) are used in various fields, such as finance and biology? They're essential for modeling growth scenarios, such as compound interest or population growth, where quantities increase at a rate proportional to their current value. This exponential behavior can lead to quite dramatic increases in numbers over time! When evaluating \( f(x) \), a common mistake is to misinterpret the base when dealing with powers. For example, some might confuse \( 5^x \) with linear expressions like \( 5x \). Remember that exponential behavior is much steeper than linear growth! Keep an eye out for that base!