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Popular >

f(x)=-sin(2x)*2

Solution

f (x) = - sin (2 x) \cdot 2

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

- sin (2 x) \cdot 2 : π

Domain of

- sin (2 x) \cdot 2 : - \infty < x < \infty

Range of

- sin (2 x) \cdot 2 : - 2 \leq f (x) \leq 2

Axis interception points of

- sin (2 x) \cdot 2 :

X Intercepts

: (πn, 0), (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- sin (2 x) \cdot 2 :

None

Extreme Points of

- sin (2 x) \cdot 2 :

Minimum

(\frac{π}{4} + πn, - 2),

Maximum

(\frac{3 π}{4} + πn, 2)

Popular Examples

(\partial)/(\partial y)(cos(2x-y))

\frac{\partial}{\partial y} (cos (2 x - y))

limit as x approaches 1 of x^2-4x+3

x \to 1 lim (x^{2} - 4 x + 3)

integral of x/(e^{-x^2)}

\int \frac{x}{e ^{- x^{2}}} d x

(\partial)/(\partial x)(2xln(y))

\frac{\partial}{\partial x} (2 x ln (y))

derivative of 2x^2-e^x

\frac{d}{d x} (2 x^{2} - e^{x})

Frequently Asked Questions (FAQ)

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