Embibe Experts Solutions for Exercise 2: EXERCISE 1.2

The function $f:R\to R$ given by $f\left(x\right)=x^3-1$ is 

Let $R$ and $C$ denote the set of real numbers and complex numbers respectively. The function $f:C\to R$ defined by $f\left(z\right)=\left|z\right|$ is

$f:A\to B$ such that $f\left(x\right)={}^{7-x}P_{x-3}$ is onto, then the set $B$ is

$f:A\to B$ such that $f\left(x\right)={\log }_2\left\{\frac{(\sin x+\cos x)+3\sqrt{2}}{\sqrt{2}}\right\}$ is an onto function. Then $B$ is given by

Set $A$ has $3$ elements and set $B$ has $4$ elements. The number of injection that can be defined from $A$ to $B$ is 

Let the function $f:R\to R$ be defined by $f\left(x\right)=2x+\sin x, x\in R$. Then $f$ is 

The function $f:R\to R$ defined by $f\left(x\right)=x+\sqrt{x^2}$ is

Function $f:R\to R;f\left(x\right)=\frac{e^{x^2}-e^{-x^2}}{e^{x^2}+e^{-x^2}}$ is