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Popular >

y=-sqrt(3)sin(x)+cos(x)

Solution

y = - 3 sin (x) + cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Minimum (\frac{2 π}{3} + 2 πn, - 2), Maximum (\frac{5 π}{3} + 2 πn, 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2, 2]

Solution steps

Periodicity of

- 3 sin (x) + cos (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(\frac{2 π}{3} + 2 πn, - 2),

Maximum

(\frac{5 π}{3} + 2 πn, 2)

Popular Examples

y = 4 x + 2

f(x)=(x+5)/((x-2)(x+2))

f (x) = \frac{x + 5}{( x - 2 ) ( x + 2 )}

y = 9 x^{3}

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

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

f(y)=64y^6-48y^3+9

f (y) = 64 y^{6} - 48 y^{3} + 9

Frequently Asked Questions (FAQ)

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