Mathematics
Grade10
Easy
Question
What are the asymptotes of the function f(x) = -
?
- x = -2 , y = 0
- x = 2 , y = -2
- x = 0 , y = 0
- x = 0 , y = -2
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: x = 0 , y = 0
Here, the function is in the form: y = 
.
Comparing the equation with y = -2/x, we get
h =0 and k =0.
Thus, Vertical asymptote: x = 0
Horizontal asymptote: y = 0.
Hence, the correct option is A.
Vertical asymptote is x =0 and horizontal asymptote is y = 0.
