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Popular >

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

Solution

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

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq \frac{1}{2}

X Intercepts : (\frac{πn}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{π}{2} n, 0), Maximum (\frac{π}{4} + \frac{π}{2} n, \frac{1}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \frac{1}{2}]

Solution steps

Periodicity of

2 cos^{2} (x) sin^{2} (x) : \frac{π}{2}

Domain of

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

Range of

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

Axis interception points of

2 cos^{2} (x) sin^{2} (x) :

X Intercepts

: (\frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

2 cos^{2} (x) sin^{2} (x) :

None

Extreme Points of

2 cos^{2} (x) sin^{2} (x) :

Minimum

(\frac{π}{2} n, 0),

Maximum

(\frac{π}{4} + \frac{π}{2} n, \frac{1}{2})

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f (b) = b^{0.71} \cdot 69

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simplify ((1+x^2)}{10}-\frac{(3x))/5 simplify

\frac{( 1 + x ^{2} )}{10} - \frac{( 3 x )}{5}

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p (x) = 4^{x} \cdot 1 0^{x + 2} \cdot 8^{- x} \cdot 5^{- (x + 1)}

Frequently Asked Questions (FAQ)

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