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Popular Functions >

f(x)=sec^2(x)

Solution

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

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)

Graph

Popular Examples

range of f(x)=|x-2|+1

simplify (-2.1)(4.3)

inflection x^3+6x^2+12x+4

monotone 3x-x^3

asymptotes of f(x)=2-cot(pix-pi/4)

Frequently Asked Questions (FAQ)

What is the f(x)=sec^2(x) ?
The f(x)=sec^2(x) is