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Popular >

f(x)=sec(2x)

Solution

f (x) = sec (2 x)

Solution

Period : π

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

Range : f (x) \leq - 1 or f (x) \geq 1

Y Intercepts : (0, 1)

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

Extreme Points : Minimum (πn, 1), Maximum (\frac{π}{2} + πn, - 1)

+1

Interval Notation

Range : (- \infty, - 1] \cup [1, \infty)

Solution steps

Periodicity of

sec (2 x) : π

Domain of

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

Range of

sec (2 x) : f (x) \leq - 1 or f (x) \geq 1

Axis interception points of

sec (2 x) :

Y Intercepts

: (0, 1)

Asymptotes of

sec (2 x) :

Vertical

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

Extreme Points of

sec (2 x) :

Minimum

(πn, 1),

Maximum

(\frac{π}{2} + πn, - 1)

Graph

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Frequently Asked Questions (FAQ)

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