Consider the function \(f(x) = \dfrac{{2x + 1}}{{x - 2}}\) the vertical and horizontal asymptotes are?

For the function \(f(x) = 2{x^3} - 10{x^2} + 12x\) the \(x\) and the \({\rm{y - intercepts}}\) are?

For the function \(f(x) = \dfrac{{{x^2}}}{{{x^2} - 1}}\) the domain and range are?

Solve \({x^2} + 2x - 15 > 0\)

Solve \(\left| {2x - 1} \right| \le 7\)

Given \(y = \left| {x + 1} \right|\) and \(y = - x\) solve \(\left| {x + 1} \right| < - x\)

Given the functions \(y = {x^2} - 4x\) and \(y = x - 4\) Solve the inequality \({x^2} - 4x \ge x - 4\)

\(y = {(x - 1)^2}\) is translated right 2 units and then dilated by a factor of 2 vertically. The new function is?

\(y = \dfrac{1}{{x - 2}}\) is translated left 3 units and then dilated by a factor of 2 horizontally. The new function is?

The amplitude and period of \(y = - 3\sin 2x\) are: 

For the domain \(0 \le x \le 2\pi \) the solution to \(2\sin (x + \dfrac{\pi }{4}) = 1\) are :