Grace is your imaginary student in Grade 10, who, thanks to you, understands the function and the tangent line, but is not yet familiar with Calculus. Still, please do not overwhelm Grace with terminologies she has not seen. 1. [50 word limit] Grace: "What does lim Af(x) = Ax = g'(x) mean?" Ax 0 2. [50 word limit] Grace: Why (not how) can a function be continuous at a certain point, but its instantaneous rate of change does not exist there?"