Curve sketching

Curve sketching is different from actual plotting of the curve. Curve sketching the process of predicting the functions graph given its expression.

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Knowing how to graph a.

. Find the domain of the function and determine the points of discontinuity if any. The following steps are taken in the process of curve sketching. To sketch this curve we will consider the domain the intercepts the endpoints the gradient as well as the turning point s.

Identify clearly any interesting features including local maximum and minimum points inflection points asymptotes and intercepts. Sketch the curves. To produce an accurate sketch a given function f consider the following steps.

Curve sketching is a very handy tool for analyzing functions and geometric curves in space. It shows you how to graph polynomials rational functions with horizon. Determine the x -.

Here are some general curve sketching rules. Generally we assume that the. To find the domain we make use of the fact that.

Overview of Cuve Sketching. Find the domain of f. It is also an application of our knowledge on first and second derivative tests.

Lets put it all together. Curve Sketching Practice With a partner or two and without the use of a graphing calculator attempt to sketch the graphs of the following functions. This calculus video tutorial provides a summary of the techniques of curve sketching.

Pertinent aspects of the graph to. This module continues the development of differential calculus by introducing the first and second derivatives of a. Curve sketching or curve tracing includes techniques that can be used to produce a rough idea of overall shape of a plane curve given its equation without computing the large numbers of.

Key Idea 4. This page covers Curve Sketching within Coordinate Geometry. Properties and applications of the derivative.

Ex 551 yx5. Given a particular equation you need be able to draw a quick sketch of its curve showing the main details such as where the. Find critical numbers numbers that make the first derivative 0 or undefined.

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