Home
Class 12
MATHS
Which of the following is horizontal asy...

Which of the following is horizontal asymptote to the function f(x)=`(3x^4-7x^3+2x^2+1)/(2x^4-4)` ?

A

y=-3.5

B

y=0

C

y=0.25

D

y=1.5

Text Solution

Verified by Experts

The correct Answer is:
D

Divide each term in the numerator and denominator by `x^4`. As x increases or decrease, alll but the first terms in the numerator and denominator approach zero, leaving a ratio of `3/2`. [9]
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

What is the equation of the horizontal asymptote of the function f(x)=((2x-1)(x+3))/((x+3)^(2)) ?

The function f(x)=2x^3-3x^2-12x+4 has

The function f(x)=2x^(3)-3x^(2)-12x-4 has

The function f(x) = (4-x^(2))/(4x-x^(3)) is

Which of the following is the equation of an asymptote of y=(3x^(2)-2x-1)/(9x^(2)-1) ?

Which of the following is an odd function? I. f(x)=3x^(3)+5 II. g(x)=4x^(6)+2x^(4)-3x^(2) III. h(x)=7x^(5)-8x^(3)+12x

Find the domain and range function f(x) =(x^(2)-3x+2)/(x^(2)-4x+3) .

If f(x) is a real valued function, then which of the following is injective function ? (i) f(x) = x^(5) (ii) f(x) = x + sin x (iii) f(x) = x^(2) (iv) f(x) = e^(x) (v) f(x) = x^(3) + x^(2) + 4x + 4

ENGLISH SAT-MODEL TEST 3-MCQ
  1. If there are known to be 4 broken transistors in a box of 12, and 3 tr...

    Text Solution

    |

  2. What is the domain of f(x)=3sqrt(15-x^2)?

    Text Solution

    |

  3. Which of the following is horizontal asymptote to the function f(x)=(3...

    Text Solution

    |

  4. When a certain radioactive elements decays, the amount at any time t c...

    Text Solution

    |

  5. If n is an integer, what is the remainder when 3x^(2n+3)-4x^(2n+2)+5x^...

    Text Solution

    |

  6. Four men A,B,C and D, line up in a row. What is the probability that m...

    Text Solution

    |

  7. overset(10)underset(i=3)sum5

    Text Solution

    |

  8. The graph of y^4-3x^2+7=0 is symmetric with respect to which of the fo...

    Text Solution

    |

  9. In a group of 30 students, 20 take French, 15 take Spanish, and 5 take...

    Text Solution

    |

  10. If f(x)=x^2 , then (f(x+h)-f(x))/(h)=

    Text Solution

    |

  11. The plane Whose equation is 5x+6y+10z=30 forms a pyramid in the first ...

    Text Solution

    |

  12. What is the range of the function f(x)=3/(x-5)-1?

    Text Solution

    |

  13. Given the set of data 1,1,2,2,2,3,3,x,y, where x and y represent two d...

    Text Solution

    |

  14. If f(x)=sqrt(2x+3) and g(x)=x^2 , for what value (s) of x does f(g(x))...

    Text Solution

    |

  15. If 3x-x^2ge2 and y^2+yle2, then

    Text Solution

    |

  16. In /\ABC, if sin A=1/3 and sin B=1/4, sin C=

    Text Solution

    |

  17. The solution set of (|x-1|)/(x)gt2 is

    Text Solution

    |

  18. Suppose the graph of f(x)=-x^3+2 is translated 2 units right and 3 uni...

    Text Solution

    |

  19. In the figure above, the bases , ABC and DEF, of the right prism are e...

    Text Solution

    |

  20. The range of the piecewise function f(x) ={:{(3(x-1)^2-2,"if",x lt 6...

    Text Solution

    |