Category: Drawing Graphs of Functions

Introduction to Sketching Graph of Function

Now, when we know methods of differential calculus let's consider question of sketching graph of the function.

Firstly, consider continuous on finite interval $$${\left[{a},{b}\right]}$$$ function $$$y={f{{\left({x}\right)}}}$$$. Here we are mainly interested in precise characteristic of change of function.

Steps for Sketching the Graph of the Function

Suppose we are given continuous on $$${\left[{a},{b}\right]}$$$ function $$$y={f{{\left({x}\right)}}}$$$ that is twice differentiable, except points where the derivative $$$f{'}\left({x}\right)$$$ doesn't exist or has infinite value.