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Popular >

y=cos(x+pi/4)

Solution

y = cos (x + \frac{π}{4})

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 1

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

Asymptotes : None

Extreme Points : Minimum (\frac{3 π}{4} + 2 πn, - 1), Maximum (\frac{7 π}{4} + 2 πn, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

cos (x + \frac{π}{4}) : 2 π

Domain of

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

Range of

cos (x + \frac{π}{4}) : - 1 \leq f (x) \leq 1

Axis interception points of

cos (x + \frac{π}{4}) :

X Intercepts

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

Y Intercepts

: (0, \frac{2}{2})

Asymptotes of

cos (x + \frac{π}{4}) :

None

Extreme Points of

cos (x + \frac{π}{4}) :

Minimum

(\frac{3 π}{4} + 2 πn, - 1),

Maximum

(\frac{7 π}{4} + 2 πn, 1)

Popular Examples

y= 3/5 x^2+30x+382

y = \frac{3}{5} x^{2} + 30 x + 382

y = x^{2} - x + 3

f (x) = x^{3} + 5 x + 20

f(x)=2+log_{3}(x)

f (x) = 2 + lo g_{3} (x)

f(x)= 1/(arctan(x))

f (x) = \frac{1}{arctan ( x )}

Frequently Asked Questions (FAQ)

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