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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 : Maximum (\frac{2 π}{3} + 2 πn, 2), Minimum (\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) :

Maximum

(\frac{2 π}{3} + 2 πn, 2),

Minimum

(\frac{5 π}{3} + 2 πn, - 2)

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f (x) = 9 x^{2} - 12 x + 8

f(h)=(sqrt(49+h)-7)/h

f (h) = \frac{49 + h - 7}{h}

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y=arctan(sqrt(4x+x^3))

y = arctan (4 x + x^{3})

Frequently Asked Questions (FAQ)

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