# Can a point of inflection be undefined?

##### 1 Answer

See the explanation section below.

#### Explanation:

A point of inflection is a point *on the graph* at which the concavity of the graph changes.

If a function is undefined at some value of

However, concavity *can* change as we pass, left to right across an

**Example**

The concavity changes "at"

But, since

graph{1/x [-10.6, 11.9, -5.985, 5.265]}

**Example 2**

The second derivative is undefined at

But, since

graph{x^(1/3) [-3.735, 5.034, -2.55, 1.835]}