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Popular >

y=2sin(x+pi/4)

Solution

y = 2 sin (x + \frac{π}{4})

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{7 π}{4} + 2 πn, 0), (π - \frac{π}{4} + 2 πn, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + 2 πn, 2), Minimum (\frac{5 π}{4} + 2 πn, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

2 sin (x + \frac{π}{4}) : 2 π

Domain of

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

Range of

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

Axis interception points of

2 sin (x + \frac{π}{4}) :

X Intercepts

: (\frac{7 π}{4} + 2 πn, 0), (π - \frac{π}{4} + 2 πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

2 sin (x + \frac{π}{4}) :

None

Extreme Points of

2 sin (x + \frac{π}{4}) :

Maximum

(\frac{π}{4} + 2 πn, 2),

Minimum

(\frac{5 π}{4} + 2 πn, - 2)

Popular Examples

y=x^3,0<= x<= 1

y = x^{3}, 0 \leq x \leq 1

f (x) = (\frac{1}{3})

f(n)=n^{log_{2}(3)}

f (n) = n^{l o g_{2} (3)}

f(x)=(3^x)/(3^x-9)

f (x) = \frac{3 ^{x}}{3 ^{x} - 9}

f(x)=(2x^4)-(4x^2)-16

f (x) = (2 x^{4}) - (4 x^{2}) - 16

Frequently Asked Questions (FAQ)

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