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Popular >

f(x)=|cos(2x)|

Solution

f (x) = ∣ cos (2 x) ∣

Solution

Period : \frac{π}{2}

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 1

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

Asymptotes : None

Extreme Points : Minimum (\frac{π}{4} + πn, 0), Maximum (\frac{π}{2} + πn, 1), Minimum (\frac{3 π}{4} + πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

∣ cos (2 x) ∣ : \frac{π}{2}

Domain of

∣ cos (2 x) ∣ : - \infty < x < \infty

Range of

∣ cos (2 x) ∣ : 0 \leq f (x) \leq 1

Axis interception points of

∣ cos (2 x) ∣ :

X Intercepts

: (\frac{π}{4} + \frac{πn}{2}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

∣ cos (2 x) ∣ :

None

Extreme Points of

∣ cos (2 x) ∣ :

Minimum

(\frac{π}{4} + πn, 0),

Maximum

(\frac{π}{2} + πn, 1),

Minimum

(\frac{3 π}{4} + πn, 0)

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Frequently Asked Questions (FAQ)

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