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Popular >

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

Solution

f (x) = - 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

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

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

f(x)=x^2arctan(x)

f (x) = x^{2} arctan (x)

y = - 2 x^{2} + 4

f(n)=((-1)^n)/n

f (n) = \frac{( - 1 ) ^{n}}{n}

y = 5 x - 10

Frequently Asked Questions (FAQ)

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