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Popular Calculus >

f(x)=8cos(x)

Solution

f (x) = 8 cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 8 \leq f (x) \leq 8

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 8)

Asymptotes : None

Extreme Points : Maximum (2 πn, 8), Minimum (π + 2 πn, - 8)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8, 8]

Solution steps

Periodicity of

8 cos (x) : 2 π

Domain of

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

Range of

8 cos (x) : - 8 \leq f (x) \leq 8

Axis interception points of

8 cos (x) :

X Intercepts

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

Y Intercepts

: (0, 8)

Asymptotes of

8 cos (x) :

None

Extreme Points of

8 cos (x) :

Maximum

(2 πn, 8),

Minimum

(π + 2 πn, - 8)

Graph

Popular Examples

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derivative of sqrt(x-2)

integral from 0 to 1 of (3x+1)^{sqrt(2)}

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