Answer:
The correct option is B.
Step-by-step explanation:
If a function is odd degree power function has a positive leading coefficient, then
[tex]f(x)\rightarrow \infty\text{ as }x\rightarrow \infty[/tex]
and
[tex]f(x)\rightarrow -\infty\text{ as }x\rightarrow -\infty[/tex]
Let an odd degree power function has a positive leading coefficient be
[tex]f(x)=x^3[/tex]
As the value of x increases without bound then the value of f(x) is also increases without bound.
[tex]lim_{x\rightarrow \infty}f(x)=(\infty)^3=\infty[/tex]
As the value of x decreases without bound then the value of f(x) is also decreases without bound.
[tex]lim_{x\rightarrow -\infty}f(x)=(-\infty)^3=-\infty[/tex]
Therefore option B is correct.
