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Popular >

g(x)=cos((2pi)/3 x)+1

Solution

g (x) = cos (\frac{2 π}{3} x) + 1

Solution

Period : 3

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Maximum (3 n, 2), Minimum (\frac{3}{2} + 3 n, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

cos (\frac{2 π}{3} x) + 1 : 3

Domain of

cos (\frac{2 π}{3} x) + 1 : - \infty < x < \infty

Range of

cos (\frac{2 π}{3} x) + 1 : 0 \leq f (x) \leq 2

Axis interception points of

cos (\frac{2 π}{3} x) + 1 :

X Intercepts

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

Y Intercepts

: (0, 2)

Asymptotes of

cos (\frac{2 π}{3} x) + 1 :

None

Extreme Points of

cos (\frac{2 π}{3} x) + 1 :

Maximum

(3 n, 2),

Minimum

(\frac{3}{2} + 3 n, 0)

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Frequently Asked Questions (FAQ)

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