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Popular >

p(x)=tan(x-pi/4)

Solution

p (x) = tan (x - \frac{π}{4})

Solution

Period : π

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

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

X Intercepts : (\frac{π}{4} + πn, 0), Y Intercepts : (0, - 1)

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

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Periodicity of

tan (x - \frac{π}{4}) : π

Domain of

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

Range of

tan (x - \frac{π}{4}) : - \infty < f (x) < \infty

Axis interception points of

tan (x - \frac{π}{4}) :

X Intercepts

: (\frac{π}{4} + πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

tan (x - \frac{π}{4}) :

Vertical

: x = \frac{3 π}{4} + πn

Extreme Points of

tan (x - \frac{π}{4}) :

None

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Frequently Asked Questions (FAQ)

What is the p(x)=tan(x-pi/4) ?
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