-50 POINTS- & WILL MARK BRAINLIEST AND RATE 5 IF CORRECT. please dont answer random things just for the points.

(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.

As x goes to -∞ y goes to -∞

As x goes to ∞ y goes to ∞

Step-by-step explanation:

We need to look at the dominate term

5x^3

As x goes to -∞

y  goes to 5 ( -∞)^3 = -∞

As x goes to -∞ y goes to -∞

As x goes to ∞

y  goes to 5 ( ∞)^3 = ∞

As x goes to ∞ y goes to ∞

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step-by-step explanation: