Mathematics
Grade10
Easy

Question

What is the horizontal asymptote of y = negative fraction numerator 5 over denominator left parenthesis 3 straight x space plus space 1 right parenthesis end fraction ?

  1. y = -5 
  2. y = -3
  3. y = 0 
  4. y = 3 

Hint:

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity. In projective geometry and related contexts, an asymptote of a curve is a line which is tangent to the curve at a point at infinity.

The correct answer is: y = 0


    We have to find the horizontal asymptote of the given graph.
    We know, For the function, f(x) = fraction numerator straight a over denominator left parenthesis straight x space minus space straight h right parenthesis end fraction + k
    Horizontal asymptote: y = k.
    Vertical asymptote: x = h.
    Here, value of k is 0 and vertical asymptote: y = k.
    So, horizontal asymptote of y = -5/(3x+1) is y=0.
    Hence, the correct option is B.

    Horizontal asymptote of a graph is y = k and vertical asymptote is x = h, where (h,k) is a moving point on the graph.

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.