Question

What is the end behaviour of `y = -x^4`?

Answer 1

graph{y = -x^4 [-10, 10, -5, 5]}

Explanation:

The polynomial is of even degree, so the end behaviour will be in the same direction.

The leading coefficient is negative, so `lim_(x-> -oo) = -oo` and `lim_(x->+oo) = -oo`. The graph shows best:

Hopefully this helps!