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Popular >

f(x)=3sin(x)+1

Solution

f (x) = 3 sin (x) + 1

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 \leq f (x) \leq 4

X Intercepts : (- arcsin (\frac{1}{3}) + 2 π + 2 πn, 0), (π + arcsin (\frac{1}{3}) + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Solution steps

Periodicity of

3 sin (x) + 1 : 2 π

Domain of

3 sin (x) + 1 : - \infty < x < \infty

Range of

3 sin (x) + 1 : - 2 \leq f (x) \leq 4

Axis interception points of

3 sin (x) + 1 :

X Intercepts

: (- arcsin (\frac{1}{3}) + 2 π + 2 πn, 0), (π + arcsin (\frac{1}{3}) + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

3 sin (x) + 1 :

None

Extreme Points of

3 sin (x) + 1 :

Maximum

(\frac{π}{2} + 2 πn, 4),

Minimum

(\frac{3 π}{2} + 2 πn, - 2)

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Frequently Asked Questions (FAQ)

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