please solve the following question and include explanation. ( ignore the answer shown in the picture, as it is just the automatic answer (may be correct or false)

Which of the following statements are true about the linearization of f(x ) at x = a, denoted La(x)? O La(b) = Lb(a) La(x) has constant slope O (La(z) )' = f' (a) If La(x) = 0, then f(x) must pass through the origin O None of the above