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Popular Functions >

f(x)=tan(x)

Solution

f (x) = tan (x)

Solution

Period : π

Domain : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range : - \infty < f (x) < \infty

X Intercepts : (πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{π}{2} + πn

Extreme Points : None

+1

Interval Notation

Domain : [πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (x) : π

Domain of

tan (x) : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range of

tan (x) : - \infty < f (x) < \infty

Axis interception points of

tan (x) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (x) :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

tan (x) :

None

Graph

Popular Examples

intercepts of f(x)=(6x-6)/(x+2)

intercepts of f(x)=x^2-4x+2

line (-7,4),(5,10)

asymptotes of f(x)=(x^2+x-12)/(x-3)

perpendicular y= 2/3 x-3,(6,-1)

Frequently Asked Questions (FAQ)

What is the f(x)=tan(x) ?
The f(x)=tan(x) is