Consider the following for the next items that follow:

Let $f(x)=\left\{\begin{array}{cc} a x(x+1)+b, & x<1 \\ x-1, & 1 \leq x \leq 2 \end{array}\right.$

Consider the following for the next three (03) items that follow :

Let f(x) = $\left|\begin{array}{ccc} \cos x & x & 1 \\ 2 \sin x & x^2 & 2 x \\ \tan x & x & 1 \end{array}\right|$

Consider the following for the next three (03) items that follow :

Let f(x) = $\left|\begin{array}{ccc} \cos x & x & 1 \\ 2 \sin x & x^2 & 2 x \\ \tan x & x & 1 \end{array}\right|$

Consider the following for the next two (02) items that follow

Let f(x) = $\left \{ \begin{matrix} x + 6, x \le 1 \\\ px + q, 1 < x < 2 \\\ 5x , x \ge 2 \end{matrix} \right.$

and f(x) is continuous