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Popular >

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

Solution

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

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

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

X Intercepts : (- \frac{1}{4} + \frac{π}{8} + \frac{πn}{2}, 0), (- \frac{1}{4} + \frac{3 π}{8} + \frac{πn}{2}, 0), Y Intercepts : (0, cos (1))

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (4 x + 1) : \frac{π}{2}

Domain of

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

Range of

cos (4 x + 1) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (4 x + 1) :

X Intercepts

: (- \frac{1}{4} + \frac{π}{8} + \frac{πn}{2}, 0), (- \frac{1}{4} + \frac{3 π}{8} + \frac{πn}{2}, 0),

Y Intercepts

: (0, cos (1))

Asymptotes of

cos (4 x + 1) :

None

Extreme Points of

cos (4 x + 1) :

Minimum

(\frac{π}{4} - \frac{1}{4} + \frac{π}{2} n, - 1),

Maximum

(\frac{- 1 + 2 π}{4} + \frac{π}{2} n, 1)

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Frequently Asked Questions (FAQ)

What is the f(x)=cos(4x+1) ?
The f(x)=cos(4x+1) is