Which graph is defined by f(x) = |x2 − x − 2|?

Answer with explanation:

The given function is

  f(x)= | x² -x-2|

x²-x-2

=x²-2 x + x -2

= x (x -2)+1(x-2)

= (x+1)(x-2)

Modulus of any polynomial function will always yield positive value.

All the points lying on x axis, above x axis which is in between the parabola and on and inside the parabola are solution of the given equation.