Answer:
Degree
Five Degree
End Behavior
When x approaches negative infinity, f(x) approaches the negative infinity as well.
When x approaches positive infinity, f(x) approaches positive infinity.
Step-by-step explanation:
[tex]y = 4 {x}^{3} + 3 {x}^{5} - {x}^{2} - 2[/tex]
A five-degree polynomial function. Rearrange the terms.
[tex]y = 3 {x}^{5} + 4 {x}^{3} - {x}^{2} - 2[/tex]
Because it is an odd-degree function, the graph increases from negative infinity and ends by increasing at positive infinity.
Graph / End Behavior
When x approaches negative infinity, f(x) approaches the negative infinity as well.
When x approaches positive infinity, f(x) approaches positive infinity.
