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Popular >

f(x)=sin^2(5x)

Solution

f (x) = sin^{2} (5 x)

Solution

Period : \frac{π}{5}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{πn}{5}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{5} n, 0), Maximum (\frac{π}{10} + \frac{π}{5} n, 1)

+1

Solution steps

Periodicity of

sin^{2} (5 x) : \frac{π}{5}

Domain of

sin^{2} (5 x) : - \infty < x < \infty

Range of

sin^{2} (5 x) : 0 \leq f (x) \leq 1

Axis interception points of

sin^{2} (5 x) :

X Intercepts

: (\frac{πn}{5}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{2} (5 x) :

None

Extreme Points of

sin^{2} (5 x) :

Minimum

(\frac{π}{5} n, 0),

Maximum

(\frac{π}{10} + \frac{π}{5} n, 1)

Popular Examples

y = cos (x) + 2

f (x) = 5 x^{2} - 8 x + 9

f(x)=sqrt(4x-2)

f (x) = 4 x - 2

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

y = 3^{x - 1}

Frequently Asked Questions (FAQ)

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