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Popular >

y=cos(x)

Solution

y = cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

cos (x) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos (x) :

None

Extreme Points of

cos (x) :

Maximum

(2 πn, 1),

Minimum

(π + 2 πn, - 1)

Popular Examples

critical (-x^3)/4+2x^2+8/3-4x critical points

\frac{- x ^{3}}{4} + 2 x^{2} + \frac{8}{3} - 4 x

monotone f(x)=x^2-5x monotone intervals

f (x) = x^{2} - 5 x

range of-sqrt(2x-3)+6 range

- 2 x - 3 + 6

domain of x^3+2x^2-3x+1 domain

x^{3} + 2 x^{2} - 3 x + 1

inverse of y=log_{0.5}(x)inverse

y = lo g_{0.5} (x)

Frequently Asked Questions (FAQ)

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