Answer:
As x gets smaller, pointing to negative infinity, the value of f decreses, pointing to negative infinity.
As x gets increases, pointing to positve infinity, the value of f decreses, pointing to negative infinity.
Step-by-step explanation:
To find the end behaviour of a function f(x), we calculate these following limits:
And
In this question:
At negative infinity:
When the variable points to infinity, we only consider the term with the highest exponent. So
So as x gets smaller, pointing to negative infinity, the value of f decreses, pointing to negative infinity.
Positive infinity:
So as x gets increases, pointing to positve infinity, the value of f decreses, pointing to negative infinity.