Answer:
f(x) approaches positive infinity as x approaches negative infinity; f(x) approaches positive infinity as x approaches positive infinity
Step-by-step explanation:
We have q(x)=3x^4+8x^3-13x^2-22x+24
The leading term of this polynomial is 3x^4 (it has the highest degree) where the degree is 4 [it is even] and the leading coefficient is 3 [it is positive]
Therefore the end behavior of the polynomial is f(x) --> ∞ as x ----> - ∞ and f(x) -----> ∞ as x ---> ∞