Match each of the following functions with the graph that best describes the situation. (a) The temperature of a bowl of soup as a function of time (b) The number of hours of daylight per day over a 2-year period (c) The population of Texas as a function of time (d) The distance traveled by a car going at a constant velocity as a function of time (e) The height of a golf ball hit with a 7-iron as a function of time
Lecture 9: Continuity (Sections 2.4 and 2.8) Def. Aunin f is continuous at a number c if x→c f(x)= If f is deﬁned on an open interval including x = c but is not continuous there, then f is discontinuous at c. The deﬁnition implies three conditions for continuity: 1. 2. 3. Note that f is continuous at x = c if the limit as x → c gives the same number as evaluating the function at x = c.