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Popular >

f(x)=3cos(x)

Solution

f (x) = 3 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Maximum (2 πn, 3), Minimum (π + 2 πn, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 cos (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

3 cos (x) :

X Intercepts

: (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0),

Y Intercepts

: (0, 3)

Asymptotes of

3 cos (x) :

None

Extreme Points of

3 cos (x) :

Maximum

(2 πn, 3),

Minimum

(π + 2 πn, - 3)

Popular Examples

limit as x approaches-5+of 1/(x^2-25)

x \to - 5 + lim (\frac{1}{x ^{2} - 25})

(t^2+2t)(dx)/(dt)=2x+6,x(1)=1

(t^{2} + 2 t) \frac{d x}{d t} = 2 x + 6, x (1) = 1

y^{^{''}} + 7 y = 0

derivative of e^{3x}+3xe^{3x}

\frac{d}{d x} (e^{3 x} + 3 x e^{3 x})

derivative of 2x^{4+7x+5}

\frac{d}{d x} (2 x^{4 + 7 x + 5})

Frequently Asked Questions (FAQ)

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