If $f(x)=|x-1|+|x-2|+|x-3|$ for $2 < x < 3$,then $f$ is

The function $f(x) = x^{2} + bx + c$, where $b$ and $c$ are real constants, describes:

Let $f: R \rightarrow R$ be defined by $f(x)=x^{4}$,then

If $f(x) = [8x] - 3$,where $[x]$ is the greatest integer function of $x$,then $f(\pi) = $

Let $[t]$ be the greatest integer less than or equal to $t$. Let $A$ be the set of all prime factors of $2310$ and $f: A \rightarrow Z$ be the function $f(x) = \left[\log_2\left(x^2 + \left[\frac{x^3}{5}\right]\right)\right]$. The number of one-to-one functions from $A$ to the range of $f$ is:

Let $A = \{x \in R : -1 \leq x \leq 1\}$ and $f: A \rightarrow A$ be a mapping defined by $f(x) = x|x|$. Then $f$ is