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Use Limits to Describe the Behavior of the Rational Function f(x)=15xx+2f ( x ) = \frac { 1 - 5 x } { x + 2 }

Question 47

Multiple Choice

Use limits to describe the behavior of the rational function near the indicated asymptote.
- f(x) =15xx+2f ( x ) = \frac { 1 - 5 x } { x + 2 }
Describe the behavior of the function near its horizontal asymptote (the end behavior) .


A) limxf(x) =0,limxf(x) =0\lim _ { x \rightarrow \infty } f ( x ) = 0 , \quad \lim _ { x \rightarrow \infty } f ( x ) = 0
B) limxf(x) =5,limxf(x) =5\lim _ { x \rightarrow \infty } f ( x ) = - 5 , \lim _ { x \rightarrow \infty } f ( x ) = - 5
C)
 Use limits to describe the behavior of the rational function near the indicated asymptote. - f ( x )  = \frac { 1 - 5 x } { x + 2 }  Describe the behavior of the function near its horizontal asymptote (the end behavior) . A)   \lim _ { x \rightarrow \infty } f ( x )  = 0 , \quad \lim _ { x \rightarrow \infty } f ( x )  = 0  B)   \lim _ { x \rightarrow \infty } f ( x )  = - 5 , \lim _ { x \rightarrow \infty } f ( x )  = - 5  C)    D)   \lim _ { x \rightarrow \infty } f ( x )  = 5 , \lim _ { x \rightarrow \infty } f ( x )  = - 5
D) limxf(x) =5,limxf(x) =5\lim _ { x \rightarrow \infty } f ( x ) = 5 , \lim _ { x \rightarrow \infty } f ( x ) = - 5

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