Question

Your progress has been saved < Question 3 of 20 Which statement correctly describes the end behavior of f(x) = -9x4 + 3x3 + 3x2 – 1? As x 0,f(x) = -00, and as x → -00,f(x) — -0. As x → 00,f(x) → 00, and as x →-00,f(x) +-0. As x → 00.f(x) → -00, and as x → -00,f(x) → 00. As x → 00.f(x) → 00, and as x → -0.f(x) → ..

Answer 1

End behaviour of a polynomial function depends on leading coefficient and degree of polynomial. Details for this is

We can use end behavior of Polynomial fuochon to find exact. End behavior of polynomial function depends on degree and sign of Coefishent. table for this degree leading Coenshen! end behavior odd of ec) -> o tve *f>ro as x--00 is graph sign as x-> N odd - ve lof 60 - - as x-D foo -> 00 as x-)-D even T Y fee - 2 for both x- oo and 2 ->-os FGC) ->-0 fo r both tve even -ve

here degree is 4 . so degree is even

leading coefficient -9 .so we have negative leading coefficient.

a polynomial with above characteristic has end behaviour as below

so correct answer is first opt

As x + f(x) +-o and As I +- f(x) +-