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Popular >

f(x)=sin(x)+cos(x)+1

Solution

f (x) = sin (x) + cos (x) + 1

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - 2 + 1 \leq f (x) \leq 2 + 1

X Intercepts : (π + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{4} + 2 πn, 2 + 1), Minimum (\frac{5 π}{4} + 2 πn, - 2 + 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 2 + 1, 2 + 1]

Solution steps

Periodicity of

sin (x) + cos (x) + 1 : 2 π

Domain of

sin (x) + cos (x) + 1 : - \infty < x < \infty

Range of

sin (x) + cos (x) + 1 : - 2 + 1 \leq f (x) \leq 2 + 1

Axis interception points of

sin (x) + cos (x) + 1 :

X Intercepts

: (π + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

sin (x) + cos (x) + 1 :

None

Extreme Points of

sin (x) + cos (x) + 1 :

Maximum

(\frac{π}{4} + 2 πn, 2 + 1),

Minimum

(\frac{5 π}{4} + 2 πn, - 2 + 1)

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Frequently Asked Questions (FAQ)

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