Which function does this graph correspond to?

a x(x − 1)(x + 1)

b x(x − 1)(x − 2)(x + 1)(x + 2)

c (x − 1)(x − 2)(x + 1)(x + 2)

d x(x − 1)(x − 2)

ANSWER

The function that the given graph corresponds to is


EXPLANATION

The given graph in the attachment has x-intercepts at



These are the solutions of the polynomial function represented by the given graph.

We can write all these solutions as factors to obtain,



The product of all these factors gives us the function whose graph was drawn.

This implies that,



Therefore the correct answer is option C.