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Popular >

f(x)=2sin^2(x)

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 2

X Intercepts : (πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (πn, 0), Maximum (\frac{π}{2} + πn, 2)

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Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

2 sin^{2} (x) : π

Domain of

2 sin^{2} (x) : - \infty < x < \infty

Range of

2 sin^{2} (x) : 0 \leq f (x) \leq 2

Axis interception points of

2 sin^{2} (x) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 sin^{2} (x) :

None

Extreme Points of

2 sin^{2} (x) :

Minimum

(πn, 0),

Maximum

(\frac{π}{2} + πn, 2)

Popular Examples

intercepts of sin(7x)intercepts

sin (7 x)

inverse of f(x)=-1/2 x-15 inverse

f (x) = - \frac{1}{2} x - 15

intercepts of y=-9x-14 intercepts

y = - 9 x - 14

monotone f(x)=(x^2-2x-1)e^x monotone intervals

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

inverse of f(x)=x^2+10x inverse

f (x) = x^{2} + 10 x

Frequently Asked Questions (FAQ)

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The f(x)=2sin^2(x) is