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Popular >

f(x)=cot^2(x)-1

Solution

f (x) = cot^{2} (x) - 1

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

Interval Notation

Domain : (πn, π + πn)

Range : [- 1, \infty)

Solution steps

Periodicity of

cot^{2} (x) - 1 : π

Domain of

cot^{2} (x) - 1 : πn < x < π + πn

Range of

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

Axis interception points of

cot^{2} (x) - 1 :

X Intercepts

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

Asymptotes of

cot^{2} (x) - 1 :

Vertical

: x = πn

Extreme Points of

cot^{2} (x) - 1 :

Minimum

(\frac{π}{2} + πn, - 1)

Popular Examples

y = - 0.5 x + 1

f(x)=2x^3-5x^2+25

f (x) = 2 x^{3} - 5 x^{2} + 25

f(x)=x^2+16x+61

f (x) = x^{2} + 16 x + 61

f(x)= 1/(sqrt(9-x^2))

f (x) = \frac{1}{9 - x ^{2}}

f (x) = ∣ x + 1 ∣ + 2

Frequently Asked Questions (FAQ)

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