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Popular >

f(x)=3sin(2x)+2

Solution

f (x) = 3 sin (2 x) + 2

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 1 \leq f (x) \leq 5

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

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + πn, 5), Minimum (\frac{3 π}{4} + πn, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, 5]

Solution steps

Periodicity of

3 sin (2 x) + 2 : π

Domain of

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

Range of

3 sin (2 x) + 2 : - 1 \leq f (x) \leq 5

Axis interception points of

3 sin (2 x) + 2 :

X Intercepts

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

Y Intercepts

: (0, 2)

Asymptotes of

3 sin (2 x) + 2 :

None

Extreme Points of

3 sin (2 x) + 2 :

Maximum

(\frac{π}{4} + πn, 5),

Minimum

(\frac{3 π}{4} + πn, - 1)

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Frequently Asked Questions (FAQ)

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