Question

Find the end behavior of the polynomial function y = x2 + 5x + 6.f(x) → ∞ as x → - ∞f(x) → ∞ as x → ∞f(x) → ∞ as x → ± ∞f(x) → - ∞ as x → ± ∞

Answer 1

Consider that the leading coefficient of the given quadratic function is positive, it means that y, for values of x => +oo, approaches to +oo too. And for x => -oo, the function approaches to +oo.

Then, based on the previous explanation, you can conclude that the end behavior of the given polynomial is:

f(x) => oo as x => ± oo third option