A fractional function (inverse proportionality) is a function of the form** y=k/x**, and **k≠0**.

The graph is a hyperbola that does not intersect any axis of coordinates, although it is infinitely close to them.

The domain and scope of values are all valid numbers.

The function decreases at **k>0** and increases at **k<0**.

A special case — **k=1**, then the function takes the form **y=1/x**. If **k>0**, the branches of the hyperbola are located in the I and III coordinate quarters. If **k<0** – in the II and IV coordinate quarters.

**Fractional graph function online**

Example fraction function graph:

**y=1/x**

y=-1/x

y=1/x+3

y=4/x

y=11/x

All graphics are built with our **graphical calculator**