# 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 fucntion.

Firstly, consider continuous on finite interval `[a,b]` function `y=f(x)`. 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 `[a,b]` function `y=f(x)` that is twice differentiable, except points where derivative `f'(x)` doesn't exist or has infinite value.

To sketch the graph of the function, we need to perform the following: