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Popular >

f(x)=1-2cos(x)

Solution

f (x) = 1 - 2 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 3

X Intercepts : (\frac{π}{3} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (2 πn, - 1), Maximum (π + 2 πn, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 3]

Solution steps

Periodicity of

1 - 2 cos (x) : 2 π

Domain of

1 - 2 cos (x) : - \infty < x < \infty

Range of

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

Axis interception points of

1 - 2 cos (x) :

X Intercepts

: (\frac{π}{3} + 2 πn, 0), (\frac{5 π}{3} + 2 πn, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

1 - 2 cos (x) :

None

Extreme Points of

1 - 2 cos (x) :

Minimum

(2 πn, - 1),

Maximum

(π + 2 πn, 3)

Popular Examples

integral of (2x^3)/3

\int \frac{2 x ^{3}}{3} d x

integral of cot(x/9)

\int cot (\frac{x}{9}) d x

derivative of x/((x^2+sqrt(3x))^5)derivative of

\frac{x}{( x ^{2} + 3 x ) ^{5}}

limit as x approaches-1 of x^2-x-2

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

limit as x approaches 7 of sec((pix)/6)

x \to 7 lim (sec (\frac{π x}{6}))

Frequently Asked Questions (FAQ)

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