Question

(2/5) URGENT PLEASE HELP!!! -50 POINTS- & WILL MARK BRAINLIEST AND RATE 5 IF CORRECT. please dont answer random things just for the points.

Answer 1

Answer:

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 ∞

Answer 2

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.