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Popular >

f(x)=csc^2(2x)

Solution

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

Solution

Period : \frac{π}{2}

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

Range : f (x) \geq 1

Intercepts : None

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

Extreme Points : Minimum (\frac{π}{4} + \frac{π}{2} n, 1)

+1

Interval Notation

Domain : (\frac{π}{2} n, \frac{π}{2} + \frac{π}{2} n)

Range : [1, \infty)

Solution steps

Periodicity of

csc^{2} (2 x) : \frac{π}{2}

Domain of

csc^{2} (2 x) : \frac{π}{2} n < x < \frac{π}{2} + \frac{π}{2} n

Range of

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

Axis interception points of

csc^{2} (2 x) :

None

Asymptotes of

csc^{2} (2 x) :

Vertical

: x = \frac{π}{2} n

Extreme Points of

csc^{2} (2 x) :

Minimum

(\frac{π}{4} + \frac{π}{2} n, 1)

Popular Examples

f (x) = 2 x^{2} - 8 x - 9

f(x)=(2x^3+3x-1)/(x^2-4)

f (x) = \frac{2 x ^{3} + 3 x - 1}{x ^{2} - 4}

y=(2x^2-3x+1)/(2x^2+8x+6)

y = \frac{2 x ^{2} - 3 x + 1}{2 x ^{2} + 8 x + 6}

y=-0.0556x^2+1.6661x-0.1612

y = - 0.0556 x^{2} + 1.6661 x - 0.1612

f(x)=(x^4}{12}+\frac{x^3)/6-x^2+x

f (x) = \frac{x ^{4}}{12} + \frac{x ^{3}}{6} - x^{2} + x

Frequently Asked Questions (FAQ)

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