Answer:
(A) As x -> -inf, y->-inf, and as x->inf, y->inf.
Step-by-step explanation:
All polynomial, of odd degree have extremities must point in opposite directions (one each of + and - infinity)
All even degree polynomials have extremities in the same direction, i.e. both towards +inf, or both towards -inf.
Since this is a cubic, so the extremities must point in opposite directions, so options B and D cannot apply.
Next, when the leading coefficient, the coefficient of ther term of the highest degree, namely 5x^3, positive, the graph will approach +infinity in the positive direction (and approach -infinity in the negative direction).
This eliminates option (C), and we see that option (A) satisfies all conditions.
When the leading coefficient is negative, it works the other way round.
