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Popular >

f(x)=1+tan(2x)

Solution

f (x) = 1 + tan (2 x)

Solution

Period : \frac{π}{2}

Domain : \frac{π}{2} n \leq x < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

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

X Intercepts : (\frac{3 π}{8} + \frac{πn}{2}, 0), Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{π}{4} + \frac{π}{2} n

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{2} n, \frac{π}{4} + \frac{π}{2} n) \cup (\frac{π}{4} + \frac{π}{2} n, \frac{π}{2} + \frac{π}{2} n)

Range : (- \infty, \infty)

Solution steps

Periodicity of

1 + tan (2 x) : \frac{π}{2}

Domain of

1 + tan (2 x) : \frac{π}{2} n \leq x < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

Range of

1 + tan (2 x) : - \infty < f (x) < \infty

Axis interception points of

1 + tan (2 x) :

X Intercepts

: (\frac{3 π}{8} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

1 + tan (2 x) :

Vertical

: x = \frac{π}{4} + \frac{π}{2} n

Extreme Points of

1 + tan (2 x) :

None

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Frequently Asked Questions (FAQ)

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