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Popular >

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

Solution

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

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 25 \leq f (x) \leq 25

X Intercepts : (- arctan (2) + π + 2 πn, 0), (- arctan (2) + 2 π + 2 πn, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (arctan (\frac{1}{2}) + 2 πn, 25), Minimum (arctan (\frac{1}{2}) + π + 2 πn, - 25)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 25, 25]

Solution steps

Periodicity of

4 cos (x) + 2 sin (x) : 2 π

Domain of

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

Range of

4 cos (x) + 2 sin (x) : - 25 \leq f (x) \leq 25

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 4)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(arctan (\frac{1}{2}) + 2 πn, 25),

Minimum

(arctan (\frac{1}{2}) + π + 2 πn, - 25)

Popular Examples

f(x)=x^2-18x+90

f (x) = x^{2} - 18 x + 90

y=3sin(5)(x+n/(12))

y = 3 sin (5) (x + \frac{n}{12})

f(x)=4+sqrt(x-3)

f (x) = 4 + x - 3

f(x)=e^{x^2-3x-1}

f (x) = e^{x^{2} - 3 x - 1}

f(x)=sqrt(x-1)+2sqrt(1-x)+sqrt(x^2+1)

f (x) = x - 1 + 2 1 - x + x^{2} + 1

Frequently Asked Questions (FAQ)

What is the f(x)=4cos(x)+2sin(x) ?
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