I A Maron Solutions for Chapter: Introduction to Mathematical Analysis, Exercise 5: Graphical Representation of Functions

Sketch the graph of the function $y=x\left(x^2-1\right)$ by multiplying the ordinates of the graphs $y_1=x$ and $y_2=x^2-1$.

Graph the function : $y=2\sqrt{-3\left(x+1.5\right)}-1.2$;

Graph the following functions : $y=\left|x^2-2x-1\right|$;

Graph the following functions : $y=\left|\left|x\right|-1\right|$;

Graph the following functions : $y=\cos \left(\sin x\right)$;

Graph the following functions : $y=\left|\sin x\right|+\sin x$ on the interval $[0,3\pi ]$;

Graph the following functions : $y=x^{2}sign\left(x\right)$, where $\mathrm{sign}\left(x\right)=\left\{\begin{array}{ccc}1& \mathrm{at} & x>0\\ 0& \mathrm{at} & x=0\\ -1& \mathrm{at} & x<0\end{array}\right.$

The function $y=f\left(x\right)$ is given graphically 

Sketch the graphs of the function $y=\frac{\left(\left|f\left(x\right)\right|-f\left(x\right)\right)}{2}$