Respuesta :

46.

[tex]f(x)=-x^3[/tex][tex]\begin{gathered} \lim _{x\to\infty}f(x)=-(\infty)^3=-\infty \\ \lim _{x\to-\infty}f(x)=-(-\infty)^3=-(-\infty)=\infty \end{gathered}[/tex]

We can conclude that as x approaches to infinity the function tends to minus infinity and as x approaches to minus infinity the function tends to infinity

Finally we can conclude that as x increases the function goes down, and as x decreases the function goes up

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