The graphed function is: y = (x + 2)(x − 1)(x − 3).
Option (a) is correct.
From the graph given in the question, it can be seen that the graph has 3 critical points, namely, x= -2, x = 1 and x = 3.
From all the five options given, the first option, that is, y = (x + 2)(x − 1)(x − 3), has the critical points x= -2, x = 1 and x = 3.
The critical points for a function are obtained by substituting the function to be equal to zero.
So, (x + 2)(x − 1)(x − 3) = 0
That is, x= -2, x = 1 and x = 3.
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