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Popular >

f(t)=3cos(2t)

Solution

f (t) = 3 cos (2 t)

Solution

Period : π

Domain : - \infty < t < \infty

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

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, 3)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 cos (2 t) : π

Domain of

3 cos (2 t) : - \infty < t < \infty

Range of

3 cos (2 t) : - 3 \leq f (t) \leq 3

Axis interception points of

3 cos (2 t) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0),

Y Intercepts

: (0, 3)

Asymptotes of

3 cos (2 t) :

None

Extreme Points of

3 cos (2 t) :

Maximum

(πn, 3),

Minimum

(\frac{π}{2} + πn, - 3)

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Frequently Asked Questions (FAQ)

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