A P Prabhakaran Solutions for Chapter: Relations and Functions, Exercise 2: SELF EVALUATION TEST

If $A=\{-1,1\}$. Find $\mathrm{A}\times \mathrm{A}\times \mathrm{A}$

Let $f\left(x\right)=x^2$ and $g\left(x\right)=2x+1$ be two real functions.

Find $(f+g)\left(x\right),(f-g)\left(x\right),\left(fg\right)\left(x\right)$ and $\left(\frac{f}{g}\right)\left(x\right)$.

Let $R$ be a relation on the set $N$ of natural numbers defined by $\mathrm{R}=\left\{\right(a,b):a+3b=12 a,b\in \mathrm{N}\}$. Find $R$.

Let $R$ be a relation on the set $N$ of natural numbers defined by $\mathrm{R}=\left\{\right(a,b):a+3b=12 \mathrm{and} a,b\in \mathrm{N}\}$. Find Domain of $R$

Let $R$ be a relation on the set $N$ of natural numbers defined by $\mathrm{R}=\left\{\right(a,b):a+3b=12 \mathrm{and} a,b\in \mathrm{N}\}$. Find  Range of $R$.

 $A=\{1,2,3,5\}$ and $B=\{4,6,9\}$ Define a relation $R$ from $A$ to $B$ by $\mathrm{R}=\left\{\right(x,y):$ the difference between $x$ and $y$is odd $;x\in \mathrm{A},y\in \mathrm{B}\}$. Write $R$ in roster form. Also, find ${\mathrm{R}}^{-1}$

Find the range of the function $f\left(x\right)=\frac{x}{x^2-5x+9}$

Draw the graph of the function $f\left(x\right)=\frac{1}{x}, x\ne 0$