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Popular >

y=-sec(x)

Solution

y = - sec (x)

Solution

Period : 2 π

Domain : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

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

Y Intercepts : (0, - 1)

Asymptotes : Vertical x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points : Maximum (2 πn, - 1), Minimum (π + 2 πn, 1)

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

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

Solution steps

Periodicity of

- sec (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

- sec (x) :

Y Intercepts

: (0, - 1)

Asymptotes of

- sec (x) :

Vertical

: x = \frac{3 π}{2} + 2 πn, x = \frac{π}{2} + 2 πn

Extreme Points of

- sec (x) :

Maximum

(2 πn, - 1),

Minimum

(π + 2 πn, 1)

Popular Examples

f(x)=3x^9+4x+129

f (x) = 3 x^{9} + 4 x + 129

y= 4/(sqrt(sec(x)))

y = \frac{4}{sec ( x )}

f(t)=t^2+e^tsin(2t)

f (t) = t^{2} + e^{t} sin (2 t)

y = 8 (x + 3)^{2} - 7

f(x)=3x^2+10x+2

f (x) = 3 x^{2} + 10 x + 2

Frequently Asked Questions (FAQ)

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