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Popular >

f(x)=1+cos(4x)

Solution

f (x) = 1 + cos (4 x)

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{4} + \frac{πn}{2}, 0), Y Intercepts : (0, 1 + cos (4 \cdot 0))

Asymptotes : None

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

+1

Solution steps

Periodicity of

1 + cos (4 x) : \frac{π}{2}

Domain of

1 + cos (4 x) : - \infty < x < \infty

Range of

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

Axis interception points of

1 + cos (4 x) :

X Intercepts

: (\frac{π}{4} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 1 + cos (4 \cdot 0))

Asymptotes of

1 + cos (4 x) :

None

Extreme Points of

1 + cos (4 x) :

Maximum

(\frac{π}{2} n, 2),

Minimum

(\frac{π}{4} + \frac{π}{2} n, 0)

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Frequently Asked Questions (FAQ)

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