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Popular >

y=-2cos(x+pi/4)

Solution

y = - 2 cos (x + \frac{π}{4})

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 2

X Intercepts : (\frac{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Maximum (π - \frac{π}{4} + 2 πn, 2), Minimum (\frac{7 π}{4} + 2 πn, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

- 2 cos (x + \frac{π}{4}) : 2 π

Domain of

- 2 cos (x + \frac{π}{4}) : - \infty < x < \infty

Range of

- 2 cos (x + \frac{π}{4}) : - 2 \leq f (x) \leq 2

Axis interception points of

- 2 cos (x + \frac{π}{4}) :

X Intercepts

: (\frac{π}{4} + 2 πn, 0), (\frac{5 π}{4} + 2 πn, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

- 2 cos (x + \frac{π}{4}) :

None

Extreme Points of

- 2 cos (x + \frac{π}{4}) :

Maximum

(π - \frac{π}{4} + 2 πn, 2),

Minimum

(\frac{7 π}{4} + 2 πn, - 2)

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Frequently Asked Questions (FAQ)

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