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Popular >

f(x)=3+cos(2x)

Solution

f (x) = 3 + cos (2 x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 2 \leq f (x) \leq 4

Y Intercepts : (0, 3 + cos (2 \cdot 0))

Asymptotes : None

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

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Solution steps

Periodicity of

3 + cos (2 x) : π

Domain of

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

Range of

3 + cos (2 x) : 2 \leq f (x) \leq 4

Axis interception points of

3 + cos (2 x) :

Y Intercepts

: (0, 3 + cos (2 \cdot 0))

Asymptotes of

3 + cos (2 x) :

None

Extreme Points of

3 + cos (2 x) :

Maximum

(πn, 4),

Minimum

(\frac{π}{2} + πn, 2)

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f (x) = 24 x^{2} - 3 x - 11

Frequently Asked Questions (FAQ)

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