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.