# Question #7bc46

Dec 16, 2017

Approaches $+ \infty$.

#### Explanation:

$f \left(x\right) = {x}^{4} - 2$

In this case, the term with the highest degree is the ${x}^{4}$. It will completely dominate the function compared to the $- 2$ as $x$ becomes larger.

It will keep on becoming larger and larger fast.

Therefore, it will approach $+ \infty$.

At $x = 0$, it is ${0}^{4} - 2 = - 2$.
However, at $x = 2$, it is already ${2}^{4} - 2 = 14$.
By $x = 4$, it is already ${4}^{4} - 2 = 252$.