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Popular >

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

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

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

X Intercepts : (1 + πn, 0), Y Intercepts : (0, 2 sin^{2} (0 - 1))

Asymptotes : None

Extreme Points : Minimum (1 + πn, 0), Maximum (\frac{π}{2} + 1 + πn, 2), Maximum (\frac{π + 2}{2} + πn, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

2 sin^{2} (x - 1) : π

Domain of

2 sin^{2} (x - 1) : - \infty < x < \infty

Range of

2 sin^{2} (x - 1) : 0 \leq f (x) \leq 2

Axis interception points of

2 sin^{2} (x - 1) :

X Intercepts

: (1 + πn, 0),

Y Intercepts

: (0, 2 sin^{2} (0 - 1))

Asymptotes of

2 sin^{2} (x - 1) :

None

Extreme Points of

2 sin^{2} (x - 1) :

Minimum

(1 + πn, 0),

Maximum

(\frac{π}{2} + 1 + πn, 2),

Maximum

(\frac{π + 2}{2} + πn, 2)

Popular Examples

y = 2 x^{2} - 5 x

f(x)=2x^3-9x^2-12x-3

f (x) = 2 x^{3} - 9 x^{2} - 12 x - 3

f(x)=14x^3+21x^2+4x-2

f (x) = 14 x^{3} + 21 x^{2} + 4 x - 2

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

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

y = sin (e^{x} \cdot x^{2})

Frequently Asked Questions (FAQ)

What is the f(x)=2sin^2(x-1) ?
The f(x)=2sin^2(x-1) is