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Popular Calculus >

f(x)=1+cos(x)

Solution

f (x) = 1 + cos (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 2

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

Asymptotes : None

Extreme Points : Maximum (2 πn, 2), Minimum (π + 2 πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

1 + cos (x) : 2 π

Domain of

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

Range of

1 + cos (x) : 0 \leq f (x) \leq 2

Axis interception points of

1 + cos (x) :

X Intercepts

: (π + 2 πn, 0),

Y Intercepts

: (0, 2)

Asymptotes of

1 + cos (x) :

None

Extreme Points of

1 + cos (x) :

Maximum

(2 πn, 2),

Minimum

(π + 2 πn, 0)

Graph

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