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Popular >

y=0.6sin(pi/6 x+1)+0.8

Solution

y = 0.6 sin (\frac{π}{6} x + 1) + 0.8

Solution

Period : 12

Domain : - \infty < x < \infty

Range : 0.2 \leq f (x) \leq 1.4

Y Intercepts : (0, \frac{3}{5} sin (\frac{π}{6} \cdot 0 + 1) + \frac{4}{5})

Asymptotes : None

Extreme Points : Maximum (1.09014 \dots + 12 n, 1.4), Minimum (7.09014 \dots + 12 n, 0.2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0.2, 1.4]

Solution steps

Periodicity of

0.6 sin (\frac{π}{6} x + 1) + 0.8 : 12

Domain of

0.6 sin (\frac{π}{6} x + 1) + 0.8 : - \infty < x < \infty

Range of

0.6 sin (\frac{π}{6} x + 1) + 0.8 : 0.2 \leq f (x) \leq 1.4

Axis interception points of

0.6 sin (\frac{π}{6} x + 1) + 0.8 :

Y Intercepts

: (0, \frac{3}{5} sin (\frac{π}{6} \cdot 0 + 1) + \frac{4}{5})

Asymptotes of

0.6 sin (\frac{π}{6} x + 1) + 0.8 :

None

Extreme Points of

0.6 sin (\frac{π}{6} x + 1) + 0.8 :

Maximum

(1.09014 \dots + 12 n, 1.4),

Minimum

(7.09014 \dots + 12 n, 0.2)

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