State whether $x=2$ is a function or not.

Given \(f\left( x \right) = ax + b\), \(f\left( 0 \right) = 1\) \(f\left( 1 \right) = -1\) and \(f\left( 2 \right) = -1\), find \(a \) and \(b\).

State the domain and range of \(y = {x^2} – 2x\).

Given  \(f\left( x \right) = {x^2}\)  is transformed to  \(g\left( x \right) = {\left( {x – 3} \right)^2} + 2\),   find the image of the point  \(x = – 3\).

For the function \(f\left( x \right) = \dfrac{{ – 2x – 1}}{{x + 1}}\), find the horizontal and vertical asymptotes.

Given the graph of $y=f(x)$ in blue, find the proper expression of the graph in red.

Choose scalar quantities.

State the vectors which are equal to  \(\vec x\)  in magnitude.

Consider the vector,  \(\vec a\) ,   whose magnitude is 15 and whose true bearing is  \(90^\circ \).   Find \(x\) and \(y\)  if  \(\vec a = x\vec i + y\vec j\).

Given \(f\left( x \right) = 2{x^2} – x – 3\), find the simplest form of \(f\left( { – x} \right)\).