What is the end behavior of the graph of the polynomial function y = 7x^12 – 3x^8 – 9x^4?
The degree of the equation is 12 which means it's even. The leading coefficient is 7 which means it's positive. According to the these, the end behavior of the graph is:
f(x)→+∞, as x→−∞
As x approaches negative infinity, the value of f(x) approached positive infinity
f(x)→+∞, as x→+∞
As x approaches positive infinity, the value of f(x) approached positive infinity