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Popular >

y=4cos^4(2x+pi)+1

Solution

y = 4 cos^{4} (2 x + π) + 1

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : 1 \leq f (x) \leq 5

Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} n, 5), Minimum (\frac{π}{4} + \frac{π}{2} n, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [1, 5]

Solution steps

Periodicity of

4 cos^{4} (2 x + π) + 1 : \frac{π}{2}

Domain of

4 cos^{4} (2 x + π) + 1 : - \infty < x < \infty

Range of

4 cos^{4} (2 x + π) + 1 : 1 \leq f (x) \leq 5

Axis interception points of

4 cos^{4} (2 x + π) + 1 :

Y Intercepts

: (0, 5)

Asymptotes of

4 cos^{4} (2 x + π) + 1 :

None

Extreme Points of

4 cos^{4} (2 x + π) + 1 :

Maximum

(\frac{π}{2} n, 5),

Minimum

(\frac{π}{4} + \frac{π}{2} n, 1)

Popular Examples

y=log_{2}(x-3)-4

y = lo g_{2} (x - 3) - 4

f(x)=sin^2(3-x)

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

y = 3 sin (\frac{x}{2})

f (x) = tan (6 x - 4)

y = x (x^{2} - 5)

Frequently Asked Questions (FAQ)

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