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Popular >

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

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 2

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

2 cos^{2} (x) : π

Domain of

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

Range of

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

Axis interception points of

2 cos^{2} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

2 cos^{2} (x) :

None

Extreme Points of

2 cos^{2} (x) :

Maximum

(πn, 2),

Minimum

(\frac{π}{2} + πn, 0)

Popular Examples

extreme f(x)=x^5-4x^3+4x-1 extreme points

f (x) = x^{5} - 4 x^{3} + 4 x - 1

intercepts of xe^x intercepts

x e^{x}

range of f(x)=sqrt(x+7)range

f (x) = x + 7

inverse of f(x)=6-x^2 inverse

f (x) = 6 - x^{2}

distance (0,0),(-5,-5)distance

(0, 0), (- 5, - 5)

Frequently Asked Questions (FAQ)

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