Question

A polynomial function is given.
Q(x) = −x^2(x^2 − 4)

(a) Describe the end behavior of the polynomial function.
End behavior:
y → as x → ∞
y → as x → −∞

Answer 1

-x^4 + 4 x^2
as x gets big either + or - the x^4 term is the one that matters
eg : 10^4 > 10^2
x^4 is + no matter the sign of x
so as |x| gets big
the answer, -x^4 ---> - infinity