Question

describe the end behavior of f(x) = –3x^38 + 7x^3 – 12x + 13

Answer 1

\[f(x) \to -\infty, x \to \pm\infty\]

Answer 2

(Remember to look at your largest coefficient before deciding such, and see what it tends to.

Answer 3

i don't understand...

Answer 4

The first term (the one of highest power) determines the end behavior of a polynomial.

If the power is even, as it is here (38), the right and left end behaviors are the same. (Both + infinity, or both negative infinity)

If the coefficient is positive, both ends tend to +infinity, if negative to -infinity.

So in this case, both right and left end tend to neg infinity.