Question #7bc46

1 Answer
Dec 16, 2017

Answer:

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!