Question

Describe the end behavior of the polynomial:f (x) = {x4 + 8x2 - x + 3As x → infinity.f(x) →As x → negative infinity, f(x) →

Answer 1

The end behaviour of a polynomial depends on the degree and the leading coefficient.

The degree of the given function is 4. The leading coefficient is 2/7.

Here, the degree is even and the leading coefficient is positive.

So, when x→infinity,f(x)→positive infinity.

When x→negative infinity, f(x)→positive infinity.