The graph below is a function that illustrates a train’s distance from downtown, in miles, as a function of time in hours after $8$ a.m. When using a graph the best you can do is estimate. Since $f(0)$ represents a distance at $8$ a.m., we can use the graph to find what the distance is. Move the point onto $(0,f(0))\text{.}$ $f(0)\approx$ ? miles hours miles per hour hours per mile What time is the function notation $f(0)$ referring to? :00 ? a.m. p.m. The notation $f(0)$ is read as “$f$ of zero.” What do you think $f(0)$ means in the context of the train story? ? the initial position of the train the final position of the train the distance is zero the distance times zero How would you represent the statement, “train’s distance at $10$ a.m.” using function notation?