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Popular >

y=2cot(x+(3pi)/4)

Solution

y = 2 cot (x + \frac{3 π}{4})

Solution

Period : π

Domain : πn \leq x < \frac{π}{4} + πn or π - \frac{3 π}{4} + πn < x < π + πn

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

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

Asymptotes : Vertical x = \frac{π}{4} + πn, x = π - \frac{3 π}{4} + πn

Inflection Points : (\frac{3 π}{4} + πn, 0)

+1

Interval Notation

Domain : [πn, \frac{π}{4} + πn) \cup (π - \frac{3 π}{4} + πn, π + πn)

Range : (- \infty, \infty)

Solution steps

Periodicity of

2 cot (x + \frac{3 π}{4}) : π

Domain of

2 cot (x + \frac{3 π}{4}) : πn \leq x < \frac{π}{4} + πn or π - \frac{3 π}{4} + πn < x < π + πn

Range of

2 cot (x + \frac{3 π}{4}) : - \infty < f (x) < \infty

Axis interception points of

2 cot (x + \frac{3 π}{4}) :

X Intercepts

: (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

2 cot (x + \frac{3 π}{4}) :

Vertical

: x = \frac{π}{4} + πn, x = π - \frac{3 π}{4} + πn

Inflection Points of

2 cot (x + \frac{3 π}{4}) : (\frac{3 π}{4} + πn, 0)

Popular Examples

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g (x) = x^{2} - 4 x - 12

Frequently Asked Questions (FAQ)

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