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Popular >

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

Solution

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

Solution

Period : 2 π

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Maximum (arctan (2) + 2 πn, 5), Minimum (arctan (2) + π + 2 πn, - 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 5, 5]

Solution steps

Periodicity of

2 sin (x) + cos (x) : 2 π

Domain of

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

Range of

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

Axis interception points of

2 sin (x) + cos (x) :

X Intercepts

: (- arctan (\frac{1}{2}) + π + 2 πn, 0), (- arctan (\frac{1}{2}) + 2 π + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

2 sin (x) + cos (x) :

None

Extreme Points of

2 sin (x) + cos (x) :

Maximum

(arctan (2) + 2 πn, 5),

Minimum

(arctan (2) + π + 2 πn, - 5)

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Frequently Asked Questions (FAQ)

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