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Popular >

f(t)=3cos(t)

Solution

f (t) = 3 cos (t)

Solution

Period : 2 π

Domain : - \infty < t < \infty

Range : - 3 \leq f (t) \leq 3

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

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 cos (t) : 2 π

Domain of

3 cos (t) : - \infty < t < \infty

Range of

3 cos (t) : - 3 \leq f (t) \leq 3

Axis interception points of

3 cos (t) :

X Intercepts

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

Y Intercepts

: (0, 3)

Asymptotes of

3 cos (t) :

None

Extreme Points of

3 cos (t) :

Maximum

(2 πn, 3),

Minimum

(π + 2 πn, - 3)

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