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Popular >

y=sec^2(2x)

Solution

y = sec^{2} (2 x)

Solution

Period : \frac{π}{2}

Domain : \frac{π}{2} n \leq x < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

Range : f (x) \geq 1

Y Intercepts : (0, 1)

Asymptotes : Vertical x = \frac{π}{4} + \frac{π}{2} n

Extreme Points : Minimum (\frac{π}{2} n, 1)

+1

Interval Notation

Solution steps

Periodicity of

sec^{2} (2 x) : \frac{π}{2}

Domain of

sec^{2} (2 x) : \frac{π}{2} n \leq x < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

Range of

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

Axis interception points of

sec^{2} (2 x) :

Y Intercepts

: (0, 1)

Asymptotes of

sec^{2} (2 x) :

Vertical

: x = \frac{π}{4} + \frac{π}{2} n

Extreme Points of

sec^{2} (2 x) :

Minimum

(\frac{π}{2} n, 1)

Graph

Popular Examples

f(x)=(x^2+3)/(x^2+1)

f (x) = \frac{x ^{2} + 3}{x ^{2} + 1}

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

f (x) = \frac{x ^{2} + 3}{x ^{2} + 2}

h(x)=4x^4-6x^3-4x^2

h (x) = 4 x^{4} - 6 x^{3} - 4 x^{2}

f(x)=2x^2+7x+12

f (x) = 2 x^{2} + 7 x + 12

f(x)=sin^2(2x)-cos^2(2x)-1

f (x) = sin^{2} (2 x) - cos^{2} (2 x) - 1

Frequently Asked Questions (FAQ)

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