Question

HELP!!
Describe the end behavior of each function.
f(x)=-x^4+4x^2-x-3

Answer 1

first you look at the degree (largest exponent) is it odd or even?

it's even.

then look at the lead coefficient: negative or positive?

its negative

any polynomial that's even degreed with a negative leading coefficient

has a end behavior of

f(x)=negative infinity as x positive infinity
f(x)=negative infinity as x negative infinity