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Popular >

f(x)=2(1+cos(x))

Solution

f (x) = 2 (1 + cos (x))

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 4

X Intercepts : (π + 2 πn, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (2 πn, 4), Minimum (π + 2 πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 4]

Solution steps

Periodicity of

2 (1 + cos (x)) : 2 π

Domain of

2 (1 + cos (x)) : - \infty < x < \infty

Range of

2 (1 + cos (x)) : 0 \leq f (x) \leq 4

Axis interception points of

2 (1 + cos (x)) :

X Intercepts

: (π + 2 πn, 0),

Y Intercepts

: (0, 4)

Asymptotes of

2 (1 + cos (x)) :

None

Extreme Points of

2 (1 + cos (x)) :

Maximum

(2 πn, 4),

Minimum

(π + 2 πn, 0)

Popular Examples

f(x)=x^3-4x^2+10x-5

f (x) = x^{3} - 4 x^{2} + 10 x - 5

y=(3x^2+6)(2x^2+4)

y = (3 x^{2} + 6) (2 x^{2} + 4)

f (x) = - 3 (x + 1)^{2}

f (a) = a^{4} + a - 12

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

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

Frequently Asked Questions (FAQ)

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