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Popular >

f(x)=2sec^2(x)-1

Solution

f (x) = 2 sec^{2} (x) - 1

Solution

Period : π

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

Range : f (x) \geq 1

Y Intercepts : (0, 1)

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

Extreme Points : Minimum (πn, 1)

+1

Interval Notation

Solution steps

Periodicity of

2 sec^{2} (x) - 1 : π

Domain of

2 sec^{2} (x) - 1 : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range of

2 sec^{2} (x) - 1 : f (x) \geq 1

Axis interception points of

2 sec^{2} (x) - 1 :

Y Intercepts

: (0, 1)

Asymptotes of

2 sec^{2} (x) - 1 :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

2 sec^{2} (x) - 1 :

Minimum

(πn, 1)

Graph

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