Limits, Asymptotes, and End Behavior - Quiz Quiz Answers

Consider f of x is equal to the fraction with numerator 7 x squared plus x plus 1 and denominator x to the 4th power plus 1 Which statement correctly uses limits to determine the end behavior of f of x ?

Which statement correctly identifies an asymptote of f of x is equal to the fraction with numerator 16 x squared minus 35 and denominator x squared minus 5 using limits?

Which statement correctly interprets this limit? limit x to plus or minus infinity of the fraction with numerator 28 x minus 10 x squared and denominator 4 x squared minus 1

Which line represents a horizontal asymptote of f of x is equal to negative the fraction with numerator 5 x squared minus 3 x plus 2 and denominator 10 x squared minus 1 ?

Which statement correctly identifies an asymptote of f of x is equal to the fraction with numerator 16 x squared minus 35 and denominator x squared minus 5 using limits?

Which statement correctly interprets this limit? limit x to plus or minus infinity of the fraction with numerator 28 x minus 10 x squared and denominator 4 x squared minus 1

Which statement describes whether the function f of x is equal to the fraction with numerator 8 times open paren x minus 1 close paren squared and denominator open paren x minus 8 close paren squared has a vertical asymptote at x is equal to 8 ?

For function limit x to c raised to the negative power of h times x is equal to negative infinity and limit x to c raised to the plus power of h times x is equal to infinity Which statement describes the existence of an asymptote at c ?

Which function has a horizontal asymptote at y is equal to 3 ?

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 ?

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 ?

Which function has a horizontal asymptote at y is equal to 3 ?

For function limit x to c raised to the negative power of h times x is equal to negative infinity and limit x to c raised to the plus power of h times x is equal to infinity Which statement describes the existence of an asymptote at c ?

Consider f of x is equal to the fraction with numerator negative 14 x to the 4th power plus 2 x plus 18 and denominator x to the 4th power minus 3 x squared Which statement represents the correct interpretation of this limit? limit x to plus or minus infinity of f times x

Which line represents a horizontal asymptote of f of x is equal to negative the fraction with numerator 5 x squared minus 3 x plus 2 and denominator 10 x squared minus 1 ?

Which statement describes whether the function f of x is equal to the fraction with numerator 8 times open paren x minus 1 close paren squared and denominator open paren x minus 8 close paren squared has a vertical asymptote at x is equal to 8 ?

Consider f of x is equal to the fraction with numerator negative 14 x to the 4th power plus 2 x plus 18 and denominator x to the 4th power minus 3 x squared Which statement represents the correct interpretation of this limit? limit x to plus or minus infinity of f times x

Which statement correctly demonstrates using limits to determine a vertical asymptote of g of x is equal to the fraction with numerator 2 times open paren x plus 4 close paren squared and denominator x squared minus 16 ?

Which statement correctly demonstrates using limits to determine a vertical asymptote of g of x is equal to the fraction with numerator 2 times open paren x plus 4 close paren squared and denominator x squared minus 16 ?

Consider f of x is equal to the fraction with numerator 7 x squared plus x plus 1 and denominator x to the 4th power plus 1 Which statement correctly uses limits to determine the end behavior of f of x ?