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Popular >

f(θ)=cos(θ)

Solution

f (θ) = cos (θ)

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \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 (θ) : 2 π

Domain of

cos (θ) : - \infty < θ < \infty

Range of

cos (θ) : - 1 \leq f (θ) \leq 1

Axis interception points of

cos (θ) :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

cos (θ) :

None

Extreme Points of

cos (θ) :

Maximum

(2 πn, 1),

Minimum

(π + 2 πn, - 1)

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f (x) = - x^{3} + 3 x^{2} - 5

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f (x) = - x^{2} + 9

critical f(x)=x+3x^{2/3}critical points

f (x) = x + 3 x^{\frac{2}{3}}

Frequently Asked Questions (FAQ)

What is the f(θ)=cos(θ) ?
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