Question

What is the end behavior for f(x)=4x^4+2x^3-13x^2-14x+24?

Answer 1

This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.

Explanation:

Since the leading term of the polynomial (the term in a polynomial which contains the highest power of the variable) is x4, then the degree is 4, i.e. even, and the leading coefficient is 1, i.e. positive.

This means that f(x)→∞ as x→−∞ and f(x)→∞ as x→∞.