Answer:
D
Step-by-step explanation:
Use the exponents to guide your answer. When we examine -∞, if the exponent is even, it will be a positive value. If it is odd, it will be a negative value. For positive ∞, it doesn't matter whether odd or even, the value will be positive.
So we automatically know as x approaches ∞, y has to be ∞.
But for -∞ it is trickier. You have 3x^6 and 75x^4 together that is positive, and 30x^5 that is negative. The first two is greater than 30x^5 overall, so as x approaches -∞, y also approaches ∞.
If you need a visual, this is what it looks like:
