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Popular >

y=1-3cos(x)

Solution

y = 1 - 3 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 4

X Intercepts : (arccos (\frac{1}{3}) + 2 πn, 0), (2 π - arccos (\frac{1}{3}) + 2 πn, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Minimum (2 πn, - 2), Maximum (π + 2 πn, 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 4]

Solution steps

Periodicity of

1 - 3 cos (x) : 2 π

Domain of

1 - 3 cos (x) : - \infty < x < \infty

Range of

1 - 3 cos (x) : - 2 \leq f (x) \leq 4

Axis interception points of

1 - 3 cos (x) :

X Intercepts

: (arccos (\frac{1}{3}) + 2 πn, 0), (2 π - arccos (\frac{1}{3}) + 2 πn, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

1 - 3 cos (x) :

None

Extreme Points of

1 - 3 cos (x) :

Minimum

(2 πn, - 2),

Maximum

(π + 2 πn, 4)

Popular Examples

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f (x) = \frac{csc ( 6 x ) + cot ( 6 x )}{csc ( 6 x ) - cot ( 6 x )}

f(x)=12x^4+24x^3+12x^2-5x+7

f (x) = 12 x^{4} + 24 x^{3} + 12 x^{2} - 5 x + 7

f (y) = \frac{1}{y - 2}

f(x)={(x^2-x)/(x^2-1):x\ne 1,1:x=1}

f (x) = {\frac{x ^{2} - x}{x ^{2} - 1} : x \neq = 1, 1 : x = 1}

f(x)=-x(-2x-2)(3x+3)^2(-1x-6)^3

f (x) = - x (- 2 x - 2) (3 x + 3)^{2} (- 1 x - 6)^{3}

Frequently Asked Questions (FAQ)

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