Question

Question #7bc46

Answer 1

Approaches `+oo`.

Explanation:

`f(x)=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 `+oo`.

Here is the graph to help you visualise this:
graph{x^4-2 [-10, 10, -5, 5]}

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`.

It does grow fast!