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Popular >

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

Solution

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

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

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

Range : [1, \infty)

Solution steps

Periodicity of

sec^{2} (x) : π

Domain of

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

Range of

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

Axis interception points of

sec^{2} (x) :

Y Intercepts

: (0, 1)

Asymptotes of

sec^{2} (x) :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

sec^{2} (x) :

Minimum

(πn, 1)

Popular Examples

f (x) = \frac{2 x}{5}

y=3sin(2x-pi/3)

y = 3 sin (2 x - \frac{π}{3})

f (x) = ∣ 3 x - 2 ∣

f(x)=x^3-4x^2+4x

f (x) = x^{3} - 4 x^{2} + 4 x

f(x)=(x^2)/(16)

f (x) = \frac{x ^{2}}{16}

Frequently Asked Questions (FAQ)

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