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Popular Calculus >

f(x)=-8cos(2x)

Solution

f (x) = - 8 cos (2 x)

Solution

Period : π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0), Y Intercepts : (0, - 8)

Asymptotes : None

Extreme Points : Minimum (πn, - 8), Maximum (\frac{π}{2} + πn, 8)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8, 8]

Solution steps

Periodicity of

- 8 cos (2 x) : π

Domain of

- 8 cos (2 x) : - \infty < x < \infty

Range of

- 8 cos (2 x) : - 8 \leq f (x) \leq 8

Axis interception points of

- 8 cos (2 x) :

X Intercepts

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

Y Intercepts

: (0, - 8)

Asymptotes of

- 8 cos (2 x) :

None

Extreme Points of

- 8 cos (2 x) :

Minimum

(πn, - 8),

Maximum

(\frac{π}{2} + πn, 8)

Graph

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Frequently Asked Questions (FAQ)

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