Question

What is the end behavior of f(x) = -3x² + 4x - 1?OA. as zoo, f(x) → ∞o as →→∞, f(x) → ∞B. as x → ∞o, f(x) → ∞ as x→→∞, f(x) →→∞OC. as a → ∞o, f(x) →→∞ as a →→∞, f(x) → ∞→→∞, f(x) → -∞-OD. as →∞o, f(x) → ∞ asReset Selection

Answer 1

Step-by-step explanation

The end behaviour of the function f(x) = -3x² + 4x - 1 is given by the limit:

`\lim_(x\to\pm∞)f(x)=\lim_(x\to\pm∞)(-3x²+4x-1)=-3\lim_(x\to\pm∞)x²=-3\cdot∞=-∞.`

Where we solved the limit considering the dominant part of the polynomial, i.e. the term with the highest power of x.

Answer

D. As x → ∞, f(x) → - ∞, as x → -∞, f(x) → - ∞