Properties of the Tangent Function
Now that you know what the asymptotes of the tangent function are, you can determine the properties of the graph f(x) = tan(x).
- The period is
.
- The domain is the set of all real numbers (
), except
, where n is any odd integer, positive or negative.
Example: - The range is the set of all real numbers (
).
- The x-intercepts occur at
, where n is any integer.
- The y-intercept is 0.
- The asymptotes are at
, where n is any odd integer.
Notice that there are no max or min properties, due to the asymptotes.