When graphing a function, ordinarily the first thing you would do is reach for your TI-84. For the sake of this lesson, let's assume that the batteries are dead in your calculator, or maybe it got crushed into bits when a falling anvil landed on it. Luckily, it was outside of your backpack at the time, so your calculus book escaped unscathed. Now that we have established the hypothetical nonexistence of graphing calculators, what are some of the considerations that you should make when endeavoring to sketch a complete graph of a function? Duration: 7:35

The remainder of the lesson consists of analyzing and graphing a variety of functions, as you probably guessed. As an aid, print the 4-5: Graph Grids Handout linked below.