# 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.