While you may not be tested on your artistic ability to sketch a curve on the ap calculus exams, you will be expected to determine these specific features of graphs. This calculus video tutorial provides a summary of the techniques of curve sketching. Although this is not a wjec question, the skills are very relevant to wjec fp2. Incorporates the use of geogebra and the casio fx991ex classwiz. The ten steps of curve sketching each require a specific tool. Curve sketching practice questions above handout 5. This topic has been discussed under quadratics and polynomials in core 1, and under curve sketching in core 2. This handout contains three curve sketching problems worked out completely. Find the domain of the function and determine the points of discontinuity if any. Detailed example of curve sketching mit opencourseware. Further maths asymptotes and curve sketching youtube. Mathematics learning centre, university of sydney 1 1 curve sketching using calculus 1.
For many students, one of the first hard calculus topics that make them realise the real deal is on for their hsc 2 unit maths year is the geometry of the derivative. Based on the graph of f x, shown to the right, which of the. Use the number line to determine where y is increasing or decreasing. This covered the methods of sketching other types of functions, such as cubics or reciprocals. Detailed example of curve sketching x example sketch the graph of fx. In this article, youll see a list of the 10 key characteristics that describe a graph. We start with administrative information, which you can nd on the course website and in emails from the module. Show that, if a 1, then c has exactly one stationary point. A full lesson on sketching cubics, quartics and reciprocal functions. The following steps are taken in the process of curve sketching. Mathematics revision guides more curve sketching page 2 of 23 author. Veitch 1 p x 1 0 1 p x 1 1 p x 1 x the other critical value is at x 1. A worked solution to a past paper question taken from aqa fp1.