Question

I need help pleaseee, someoneeee

Answer 1

(D).

Explanation:

f(x) = 3
`x^(6)` + 30
`x^(5)` + 75
`x^(4)`

Domain: - ∞ < x < ∞

Range: y ≥ 0

⇒ The correct answer is the last option.

x ----> - ∞ , y ----> ∞

x ----> ∞ , y ----> ∞

Answer 2

D

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: