Consider f of x is equal to the fraction with numerator 8 times open paren x minus 1 close paren and denominator x squared plus 2 x minus 3 Which statements describe the existence of vertical asymptotes at x is equal to negative 3 and x is equal to 1 ?

Question

Revolt · Accepted Answer

At  x is equal to negative 3 ,

limit x to negative 3 raised to the negative power of f times x is equal to negative infinity

and

limit x to negative 3 raised to the plus power of f times x is equal to infinity

, so there is a vertical asymptote.

At  x is equal to 1 ,

limit x to 1 raised to the negative power of f times x is equal to 2

and

limit x to 1 raised to the plus power of f times x is equal to 2

,so there is no vertical asymptote.

Limits, Asymptotes, and End Behavior - Quiz Quiz

Consider f of x is equal to the fraction with numerator 8 times open paren x minus 1 close paren and denominator x squared plus 2 x minus 3 Which statements describe the existence of vertical asymptotes at x is equal to negative 3 and x is equal to 1 ?

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Limits, Asymptotes, and End Behavior - Quiz Quiz

Consider f of x is equal to the fraction with numerator 8 times open paren x minus 1 close paren and denominator x squared plus 2 x minus 3 Which statements describe the existence of vertical asymptotes at x is equal to negative 3 and x is equal to 1 ?

More from this Course