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Popular >

f(x)=5cos(x)

Solution

f (x) = 5 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 5 \leq f (x) \leq 5

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (2 πn, 5), Minimum (π + 2 πn, - 5)

+1

Solution steps

Periodicity of

5 cos (x) : 2 π

Domain of

5 cos (x) : - \infty < x < \infty

Range of

5 cos (x) : - 5 \leq f (x) \leq 5

Axis interception points of

5 cos (x) :

X Intercepts

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

Y Intercepts

: (0, 5)

Asymptotes of

5 cos (x) :

None

Extreme Points of

5 cos (x) :

Maximum

(2 πn, 5),

Minimum

(π + 2 πn, - 5)

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