The $x$- and $y$-intercepts of an applied function model almost always tell us something meaningful and interesting. Finding them is a snap once we have a model equation, using what we know from precalculus:
1. To find a $y$-intercept, set $x$ equal to zero and solve for $y\text{.}$ That is, compute the value of $y=f(0)\text{.}$ (This usually requires only arithmetic and no algebra.)
2. To find a $x$-intercept, set $y$ equal to zero and solve for $x\text{.}$ This often requires considerably more algebraic technique, and is sometimes not feasible without technology.