Lang Marsh
07/29/2023 · Elementary School
Bosqueje la gráfica de una función \( f \) que satisfaga las siguientes condiciones \( f(-4)=3, \lim _{x \rightarrow-4^{2}} f(x)=\frac{5}{3}, \lim _{x \rightarrow-2^{-}} f(x)=-\infty, \lim _{x \rightarrow-2^{+}} f(x)=+\infty \), \( \lim _{x \rightarrow 8} f(x)=-\infty, \lim _{x \rightarrow+\infty} f(x)=3, \lim _{x \rightarrow-\infty} f(x)=+\infty \)
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La gráfica de la función \( f \) comienza en \( +\infty \) para \( x \rightarrow -\infty \), baja hacia \( \frac{5}{3} \) cerca de \( x = -16 \), pasa por el punto \( (-4, 3) \), tiene una asíntota vertical en \( x = -2 \), baja a \( -\infty \) cerca de \( x = 8 \), y se estabiliza en \( y = 3 \) para \( x \rightarrow +\infty \).
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