Answer:
see explanation
Step-by-step explanation:
To determine the end behaviour, we only need to consider the term of highest degree, that is the leading term in standard form
The term of highest degree in f(x) is 4[tex]x^{5}[/tex]
which is of odd degree with positive coefficient
As a result the end behaviour is
As x → + ∞ (right), f(x) → + ∞ ( that is rises )
As x → - ∞ (left), f(x) → - ∞ ( that is falls )