What is the end behavior of the graph of the polynomial function y = 7x12 – 3x8 – 9x4? . x -> y-> __ and as x-> y->

As x > ∞, y> ∞

As x > -∞, y> ∞

Step-by-step explanation:

y = 7x^12 – 3x^8 – 9x^4

To find the end behaviour, we look at the leading coefficient and the largest exponent

In the given equation, the largest exponent is 12 that is an even number

the leading term is 7x^12, so leading coefficient is +7

When the largest exponent is even and leading coefficient is positive then the graph of y goes up(to infinity) on the left as well as on the right side of x

As x > ∞, y> ∞

As x > -∞, y> ∞