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Popular >

f(θ)=2sin(θ)+1

Solution

f (θ) = 2 sin (θ) + 1

Solution

Period : 2 π

Domain : - \infty < θ < \infty

Range : - 1 \leq f (θ) \leq 3

X Intercepts : (\frac{7 π}{6} + 2 πn, 0), (\frac{11 π}{6} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 3]

Solution steps

Periodicity of

2 sin (θ) + 1 : 2 π

Domain of

2 sin (θ) + 1 : - \infty < θ < \infty

Range of

2 sin (θ) + 1 : - 1 \leq f (θ) \leq 3

Axis interception points of

2 sin (θ) + 1 :

X Intercepts

: (\frac{7 π}{6} + 2 πn, 0), (\frac{11 π}{6} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

2 sin (θ) + 1 :

None

Extreme Points of

2 sin (θ) + 1 :

Maximum

(\frac{π}{2} + 2 πn, 3),

Minimum

(\frac{3 π}{2} + 2 πn, - 1)

Popular Examples

f (x) = (0.5)^{x}

y=-2x^2+105x-773

y = - 2 x^{2} + 105 x - 773

y = sin (\frac{3 x}{2})

f(x)=x^3-4x^2+3x+7

f (x) = x^{3} - 4 x^{2} + 3 x + 7

y = 3 x^{3} - 2 x^{2} - 5 x

Frequently Asked Questions (FAQ)

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