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Popular >

y=tan^3(5x+4)

Solution

y = tan^{3} (5 x + 4)

Solution

Period : \frac{π}{5}

Domain : \frac{π}{5} n \leq x < \frac{- 8 + 3 π}{10} + \frac{π}{5} n or - \frac{4}{5} + \frac{3 π}{10} + \frac{π}{5} n < x < \frac{π}{5} + \frac{π}{5} n

X Intercepts : (- \frac{4}{5} + \frac{2 π}{5} + \frac{πn}{5}, 0), Y Intercepts : (0, tan^{3} (5 \cdot 0 + 4))

Asymptotes : None

Extreme Points : Saddle (\frac{- 4 + 2 π}{5} + \frac{π}{5} n, 0)

+1

Interval Notation

Domain : [\frac{π}{5} n, \frac{- 8 + 3 π}{10} + \frac{π}{5} n) \cup (- \frac{4}{5} + \frac{3 π}{10} + \frac{π}{5} n, \frac{π}{5} + \frac{π}{5} n)

Solution steps

Periodicity of

tan^{3} (5 x + 4) : \frac{π}{5}

Domain of

tan^{3} (5 x + 4) : \frac{π}{5} n \leq x < \frac{- 8 + 3 π}{10} + \frac{π}{5} n or - \frac{4}{5} + \frac{3 π}{10} + \frac{π}{5} n < x < \frac{π}{5} + \frac{π}{5} n

Axis interception points of

tan^{3} (5 x + 4) :

X Intercepts

: (- \frac{4}{5} + \frac{2 π}{5} + \frac{πn}{5}, 0),

Y Intercepts

: (0, tan^{3} (5 \cdot 0 + 4))

Asymptotes of

tan^{3} (5 x + 4) :

None

Extreme Points of

tan^{3} (5 x + 4) :

Saddle

(\frac{- 4 + 2 π}{5} + \frac{π}{5} n, 0)

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Frequently Asked Questions (FAQ)

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