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Popular >

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

Solution

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

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 10 + 2 \leq f (x) \leq 10 + 2

Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Maximum (\frac{arctan ( 3 )}{2} + πn, 10 + 2), Minimum (\frac{arctan ( 3 ) + π}{2} + πn, - 10 + 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 10 + 2, 10 + 2]

Solution steps

Periodicity of

cos (2 x) + 3 sin (2 x) + 2 : π

Domain of

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

Range of

cos (2 x) + 3 sin (2 x) + 2 : - 10 + 2 \leq f (x) \leq 10 + 2

Axis interception points of

cos (2 x) + 3 sin (2 x) + 2 :

Y Intercepts

: (0, 3)

Asymptotes of

cos (2 x) + 3 sin (2 x) + 2 :

None

Extreme Points of

cos (2 x) + 3 sin (2 x) + 2 :

Maximum

(\frac{arctan ( 3 )}{2} + πn, 10 + 2),

Minimum

(\frac{arctan ( 3 ) + π}{2} + πn, - 10 + 2)

Popular Examples

f (x) = 3 x + ln (x)

f(x)=5-2x^2+3x^3-x^4

f (x) = 5 - 2 x^{2} + 3 x^{3} - x^{4}

f (x) = 3 + x

y = e^{x} + 2

f(x)=\sqrt[3]{2x-1}

Frequently Asked Questions (FAQ)

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