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Popular >

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

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 1

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

sin^{2} (x - 1) : π

Domain of

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

Range of

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

Axis interception points of

sin^{2} (x - 1) :

X Intercepts

: (1 + πn, 0),

Y Intercepts

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

Asymptotes of

sin^{2} (x - 1) :

None

Extreme Points of

sin^{2} (x - 1) :

Minimum

(1 + πn, 0),

Maximum

(\frac{π}{2} + 1 + πn, 1)

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Frequently Asked Questions (FAQ)

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