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

+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, - 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) :

Minimum

(2 πn, 4),

Maximum

(π + 2 πn, - 4)

Popular Examples

f (X) = 5 X

x = 2 t - 2

f(x)=log_{5}((x^2-9)/(x+3))

f (x) = lo g_{5} (\frac{x ^{2} - 9}{x + 3})

f (x) = x^{5} - 2 x^{3}

f(x)=((x^2+2))/x

f (x) = \frac{( x ^{2} + 2 )}{x}

Frequently Asked Questions (FAQ)

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