# 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.