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Popular >

f(x)=sin^4(4x)

Solution

f (x) = sin^{4} (4 x)

Solution

Period : \frac{π}{4}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{πn}{4}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{4} n, 0), Maximum (\frac{π}{8} + \frac{π}{4} n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

sin^{4} (4 x) : \frac{π}{4}

Domain of

sin^{4} (4 x) : - \infty < x < \infty

Range of

sin^{4} (4 x) : 0 \leq f (x) \leq 1

Axis interception points of

sin^{4} (4 x) :

X Intercepts

: (\frac{πn}{4}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

sin^{4} (4 x) :

None

Extreme Points of

sin^{4} (4 x) :

Minimum

(\frac{π}{4} n, 0),

Maximum

(\frac{π}{8} + \frac{π}{4} n, 1)

Popular Examples

f(x)=x^2-11x+17

f (x) = x^{2} - 11 x + 17

parity y=ln|-5t^3+2t-3|-6ln(t^{-3t^2})parity

y = ln - 5 t^{3} + 2 t - 3 - 6 ln (t^{- 3 t^{2}})

f(x)=x^3+5x^2+8x+4

f (x) = x^{3} + 5 x^{2} + 8 x + 4

f (x) = 3 x^{2} + 6 x + 3

f(t)=sqrt(4t^2+5)

f (t) = 4 t^{2} + 5

Frequently Asked Questions (FAQ)

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