The function is .

The graph of greatest integer function has the following characteristics.

**Domain:**

The domain of the function in interval notation: .

Domain in set notation: .

**Range:**

The range of the function in interval notation: .

Range in set notation: .

**Intercepts:**

The graph has one - intercept at and -intercepts for .

**Symmetry:**

The graph has no symmetry. Therefore, is neither odd nor even.

**Continuity:**

The graph has a jumped discontinuity for .

**End behavior:**

and .

**Increasing- Decreasing:**

The graph is constant for .

The graph increases for

Domain: , Range: .

- intercept at and -intercepts for .

The graph has no symmetry.

The graph has a jumped discontinuity for .

and .

The graph is constant for .

The graph increases for .

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