Anti Differentiation please answer the following question and keep working out and explanation seperate.

Deriving the original function from the gradient function 'I If f' (x) = 1, one possible graph for f(x) is shown at right. On the same set of axes, show three more possibilities for f (x). 3 The graph of a gradient function is shown at right. y f'(x) a From the graph, write down: i the value of x where the gradient is 0 ii the sign of the gradient to the left of this point iii the sign of the gradient to the right of this point. b i State the shape of the graph of f(x). ii If f(0) = 2, sketch the graph of f(x)