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Popular Calculus >

f(x)=3cos^2(x)

Solution

f (x) = 3 cos^{2} (x)

Solution

Period : π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 3

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

Asymptotes : None

Extreme Points : Maximum (πn, 3), Minimum (\frac{π}{2} + πn, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : [0, 3]

Solution steps

Periodicity of

3 cos^{2} (x) : π

Domain of

3 cos^{2} (x) : - \infty < x < \infty

Range of

3 cos^{2} (x) : 0 \leq f (x) \leq 3

Axis interception points of

3 cos^{2} (x) :

X Intercepts

: (\frac{π}{2} + πn, 0),

Y Intercepts

: (0, 3)

Asymptotes of

3 cos^{2} (x) :

None

Extreme Points of

3 cos^{2} (x) :

Maximum

(πn, 3),

Minimum

(\frac{π}{2} + πn, 0)

Graph

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