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Popular >

f(t)=pi+cos(3t)

Solution

f (t) = π + cos (3 t)

Solution

Period : \frac{2 π}{3}

Domain : - \infty < t < \infty

Range : - 1 + π \leq f (t) \leq 1 + π

Y Intercepts : (0, π + 1)

Asymptotes : None

Extreme Points : Maximum (\frac{2 π}{3} n, π + 1), Minimum (\frac{π}{3} + \frac{2 π}{3} n, π - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1 + π, 1 + π]

Solution steps

Periodicity of

π + cos (3 t) : \frac{2 π}{3}

Domain of

π + cos (3 t) : - \infty < t < \infty

Range of

π + cos (3 t) : - 1 + π \leq f (t) \leq 1 + π

Axis interception points of

π + cos (3 t) :

Y Intercepts

: (0, π + 1)

Asymptotes of

π + cos (3 t) :

None

Extreme Points of

π + cos (3 t) :

Maximum

(\frac{2 π}{3} n, π + 1),

Minimum

(\frac{π}{3} + \frac{2 π}{3} n, π - 1)

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Frequently Asked Questions (FAQ)

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