Mathematics
Grade10
Easy
Question
What is the horizontal asymptote of y = 
?
- y = -5
- y = -3
- y = 0
- 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) = 
+ 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.
