**?? - 2015 q2**

2. Given that

(a) sketch, on separate diagrams, the curve with equation

i)

On each diagram, show the coordinates of each point at which the curve meets or cuts the axes. On each diagram state the equation of the asymptote. (6)

(b) Deduce the set of values of

(c) Find the exact solutions of the equation |f(

i)

*y = f(x)**ii) y = |f(x)|*On each diagram, show the coordinates of each point at which the curve meets or cuts the axes. On each diagram state the equation of the asymptote. (6)

(b) Deduce the set of values of

*x*for which f(*x*) = |f(*x*)| (1)(c) Find the exact solutions of the equation |f(

*x*)| = 2 (3)