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Popular >

y=3sin(2x)+1

Solution

y = 3 sin (2 x) + 1

Solution

Period : π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

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

+1

Solution steps

Periodicity of

3 sin (2 x) + 1 : π

Domain of

3 sin (2 x) + 1 : - \infty < x < \infty

Range of

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

Axis interception points of

3 sin (2 x) + 1 :

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

3 sin (2 x) + 1 :

None

Extreme Points of

3 sin (2 x) + 1 :

Maximum

(\frac{π}{4} + πn, 4),

Minimum

(\frac{3 π}{4} + πn, - 2)

Popular Examples

f(x)=sqrt(3x^2-36)

f (x) = 3 x^{2} - 36

f (x) = \frac{x ^{2} + 9}{x}

f (X) = 3 X^{2}

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

y = 2 - \frac{1}{2} x

Frequently Asked Questions (FAQ)

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