Respuesta :
Answer: The function has the end behavior [tex]f(x)\rightarrow -\infty[/tex] as [tex]x\rightarrow -\infty[/tex], [tex]f(x)\rightarrow +\infty[/tex] as [tex]x\rightarrow +\infty[/tex]
Explanation:
Since, The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function determine the end behavior of the graph. And, if the function has positive leading coefficient with odd degree then its end behavior is [tex]f(x)\rightarrow -\infty[/tex] as [tex]x\rightarrow -\infty[/tex], [tex]f(x)\rightarrow +\infty[/tex] as [tex]x\rightarrow +\infty[/tex]
Here, The given function has positive leading coefficient with odd degree.
Therefore, by the definition of end behavior of a function,
The function has the end behavior [tex]f(x)\rightarrow -\infty[/tex] as [tex]x\rightarrow -\infty[/tex]
And, [tex]f(x)\rightarrow +\infty[/tex] as [tex]x\rightarrow +\infty[/tex]
Answer:
The graph of the function starts low and ends high
Step-by-step explanation:
a p e x