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Popular >

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

Solution

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

Solution

Period : π

Domain : πn < x < π + πn

Range : f (x) \geq - 1

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0)

Asymptotes : Vertical x = πn

Extreme Points : Minimum (\frac{π}{2} + πn, - 1)

+1

Solution steps

Periodicity of

csc^{2} (x) - 2 : π

Domain of

csc^{2} (x) - 2 : πn < x < π + πn

Range of

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

Axis interception points of

csc^{2} (x) - 2 :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0)

Asymptotes of

csc^{2} (x) - 2 :

Vertical

: x = πn

Extreme Points of

csc^{2} (x) - 2 :

Minimum

(\frac{π}{2} + πn, - 1)

Popular Examples

f (m) = m^{2} - m - 2

f (7) = 3 x - 1

y=x^3-3x^2-72x-20

y = x^{3} - 3 x^{2} - 72 x - 20

y = 2 x^{2} + 6 x + 3 x - 9

f (x) = \frac{3 x + 5}{2}

Frequently Asked Questions (FAQ)

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