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Popular Functions >

y=cos(pi/(12)x)+6

Solution

y = cos (\frac{π}{12} x) + 6

Solution

Period : 24

Domain : - \infty < x < \infty

Range : 5 \leq f (x) \leq 7

Y Intercepts : (0, 7)

Asymptotes : None

Extreme Points : Maximum (24 n, 7), Minimum (12 + 24 n, 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [5, 7]

Solution steps

Periodicity of

cos (\frac{π}{12} x) + 6 : 24

Domain of

cos (\frac{π}{12} x) + 6 : - \infty < x < \infty

Range of

cos (\frac{π}{12} x) + 6 : 5 \leq f (x) \leq 7

Axis interception points of

cos (\frac{π}{12} x) + 6 :

Y Intercepts

: (0, 7)

Asymptotes of

cos (\frac{π}{12} x) + 6 :

None

Extreme Points of

cos (\frac{π}{12} x) + 6 :

Maximum

(24 n, 7),

Minimum

(12 + 24 n, 5)

Graph

Popular Examples

y=(3x+2)/(2x-5)

f(x)=(x^3-x^2-2x)/(x^2-x)

f(x)=(sqrt(x^4-5x^2+4))/(sqrt(x^2-5x+4))

Frequently Asked Questions (FAQ)

What is the y=cos(pi/(12)x)+6 ?
The y=cos(pi/(12)x)+6 is