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Popular >

y=|sin(x)|

Solution

y = ∣ sin (x) ∣

Solution

Period : π

Domain : - \infty < x < \infty

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

X Intercepts : (πn, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 1]

Solution steps

Periodicity of

∣ sin (x) ∣ : π

Domain of

∣ sin (x) ∣ : - \infty < x < \infty

Range of

∣ sin (x) ∣ : 0 \leq f (x) \leq 1

Axis interception points of

∣ sin (x) ∣ :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

∣ sin (x) ∣ :

None

Extreme Points of

∣ sin (x) ∣ :

Maximum

(\frac{π}{2} + 2 πn, 1),

Minimum

(π + 2 πn, 0),

Maximum

(\frac{3 π}{2} + 2 πn, 1)

Popular Examples

y = csc (2 x)

y = 2 \cdot 3^{x}

y= 1/3 (x^2+2)^{3/2}

y = \frac{1}{3} (x^{2} + 2)^{\frac{3}{2}}

f (x) = 4 x^{2} + 4 x - 8

solvefor r,r=-2cos(θ)solve for

r, r = - 2 cos (θ)

Frequently Asked Questions (FAQ)

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