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Popular >

y=-4sec(x)

Solution

y = - 4 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 - 4 or f (x) \geq 4

Y Intercepts : (0, - 4)

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

Extreme Points : Maximum (2 πn, - 4), Minimum (π + 2 πn, 4)

+1

Interval Notation

Range : (- \infty, - 4] \cup [4, \infty)

Solution steps

Periodicity of

- 4 sec (x) : 2 π

Domain of

- 4 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

- 4 sec (x) : f (x) \leq - 4 or f (x) \geq 4

Axis interception points of

- 4 sec (x) :

Y Intercepts

: (0, - 4)

Asymptotes of

- 4 sec (x) :

Vertical

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

Extreme Points of

- 4 sec (x) :

Maximum

(2 πn, - 4),

Minimum

(π + 2 πn, 4)

Graph

Popular Examples

f(x)=2^x*3^{x^2}

f (x) = 2^{x} \cdot 3^{x^{2}}

f(x)=(sqrt((1+ax)/(1-ax)))

f (x) = (\frac{1 + a x}{1 - a x})

y=3.52+0.97(x^1)-0.03(x^2)

y = 3.52 + 0.97 (x^{1}) - 0.03 (x^{2})

f(x)=(x^2-2x+2)e^x

f (x) = (x^{2} - 2 x + 2) e^{x}

y = (x) - 2

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