# What is the end behavior of the graph of the polynomial function y = 7x^{12} - 3x^{8} - 9x^{4}?

**Solution:**

To find the end behaviour of a function, we must only consider the highest degree term

Given:

Polynomial y = 7x^{12} - 3x^{8} - 9x^{4}

Here we have to consider 7x^{12}

7 is a positive coefficient of x^{12}

**So if x goes to positive high numbers the answer will be positive high numbers**

x → ∞, y → ∞

**So if x goes to negative high numbers the answer will be positive high numbers due to the even powers which act on x**

x → -∞, y → ∞

**Therefore, the end behaviour of the graph is x → ∞, y → ∞ and x → -∞, y → ∞.**

## What is the end behavior of the graph of the polynomial function y = 7x^{12} - 3x^{8} - 9x^{4}?

**Summary:**

The end behavior of the graph of the polynomial function y = 7x^{12} - 3x^{8} - 9x^{4} is x → ∞, y → ∞ and x → -∞, y → ∞.

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