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Popular >

y=-3cos(2x)

Solution

y = - 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 : Minimum (πn, - 3), Maximum (\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) :

Minimum

(πn, - 3),

Maximum

(\frac{π}{2} + πn, 3)

Popular Examples

f(x)=sqrt(x-2)+3

f (x) = x - 2 + 3

f (x) = 25 x^{2} + 36

periodicity of f(x)=cos(2x)*cos(x)periodicity

f (x) = cos (2 x) \cdot cos (x)

f(x)=(2-x)(x-3)x

f (x) = (2 - x) (x - 3) x

f(x)=(2x)/(x^2-16)

f (x) = \frac{2 x}{x ^{2} - 16}

Frequently Asked Questions (FAQ)

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