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Popular >

f(x)=2cos(x)-sin(x)

Solution

f (x) = 2 cos (x) - sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

X Intercepts : (arctan (2) + 2 πn, 0), (arctan (2) + π + 2 πn, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Minimum (- arctan (\frac{1}{2}) + π + 2 πn, - 5), Maximum (- arctan (\frac{1}{2}) + 2 π + 2 πn, 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Periodicity of

2 cos (x) - sin (x) : 2 π

Domain of

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

Range of

2 cos (x) - sin (x) : - 5 \leq f (x) \leq 5

Axis interception points of

2 cos (x) - sin (x) :

X Intercepts

: (arctan (2) + 2 πn, 0), (arctan (2) + π + 2 πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

2 cos (x) - sin (x) :

None

Extreme Points of

2 cos (x) - sin (x) :

Minimum

(- arctan (\frac{1}{2}) + π + 2 πn, - 5),

Maximum

(- arctan (\frac{1}{2}) + 2 π + 2 πn, 5)

Popular Examples

f(x)=3cos(5x+pi)+3

f (x) = 3 cos (5 x + π) + 3

f(x)=(x-3)/(x^2-x-6)

f (x) = \frac{x - 3}{x ^{2} - x - 6}

y = x^{2} + 8 x - 6

periodicity of f(x)=cos(2x)cos(4x)periodicity

f (x) = cos (2 x) cos (4 x)

f(x)=(cos(x)-sin(x))/(cos(x)+sin(x))

f (x) = \frac{cos ( x ) - sin ( x )}{cos ( x ) + sin ( x )}

Frequently Asked Questions (FAQ)

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