PGDBA 2017 Question 47

Question 47

Let $$f(x) = a_0 + a_1 \mid x\mid +  a_2 \mid x\mid^2 + a_3 \mid x\mid^3$$, where $$a_0, a_1, a_2$$ and $$a_3$$ are constants. Which of the following statements is correct?

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