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Popular >

f(x)=3cos(2x)

Solution

f (x) = 3 cos (2 x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 3

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, 3)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 cos (2 x) : π

Domain of

3 cos (2 x) : - \infty < x < \infty

Range of

3 cos (2 x) : - 3 \leq f (x) \leq 3

Axis interception points of

3 cos (2 x) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, 3)

Asymptotes of

3 cos (2 x) :

None

Extreme Points of

3 cos (2 x) :

Maximum

(πn, 3),

Minimum

(\frac{π}{2} + πn, - 3)

Popular Examples

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

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

derivative of arctanh(sqrt(x))

\frac{d}{d x} (arctanh (x))

taylor 1/(sqrt(3-2x)),1 taylor

\frac{1}{3 - 2 x}, 1

derivative of f(x)=x^2-3x derivative of

f (x) = x^{2} - 3 x

tangent of 1/(3+2x)tangent of

\frac{1}{3 + 2 x}

Frequently Asked Questions (FAQ)

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