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Popular >

f(x)=sin(2x+pi/4)

Solution

f (x) = sin (2 x + \frac{π}{4})

Solution

Period : π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{7 π}{8} + πn, 0), (\frac{3 π}{8} + πn, 0), Y Intercepts : (0, \frac{2}{2})

Asymptotes : None

Extreme Points : Maximum (\frac{π}{8} + πn, 1), Minimum (\frac{5 π}{8} + πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 1]

Solution steps

Periodicity of

sin (2 x + \frac{π}{4}) : π

Domain of

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

Range of

sin (2 x + \frac{π}{4}) : - 1 \leq f (x) \leq 1

Axis interception points of

sin (2 x + \frac{π}{4}) :

X Intercepts

: (\frac{7 π}{8} + πn, 0), (\frac{3 π}{8} + πn, 0),

Y Intercepts

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

Asymptotes of

sin (2 x + \frac{π}{4}) :

None

Extreme Points of

sin (2 x + \frac{π}{4}) :

Maximum

(\frac{π}{8} + πn, 1),

Minimum

(\frac{5 π}{8} + πn, - 1)

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Frequently Asked Questions (FAQ)

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