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Popular >

y=8sin(7(x+5))+2

Solution

y = 8 sin (7 (x + 5)) + 2

Solution

Period : \frac{2 π}{7}

Domain : - \infty < x < \infty

Range : - 6 \leq f (x) \leq 10

X Intercepts : (\frac{12 π}{7} - \frac{arcsin ( \frac{1}{4} )}{7} - 5 + \frac{2 πn}{7}, 0), (\frac{13 π}{7} + \frac{arcsin ( \frac{1}{4} )}{7} - 5 + \frac{2 πn}{7}, 0), Y Intercepts : (0, 8 sin (7 (0 + 5)) + 2)

Asymptotes : None

Extreme Points : Minimum (\frac{23 π - 70}{14} + \frac{2 π}{7} n, - 6), Maximum (\frac{25 π - 70}{14} + \frac{2 π}{7} n, 10)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 6, 10]

Solution steps

Periodicity of

8 sin (7 (x + 5)) + 2 : \frac{2 π}{7}

Domain of

8 sin (7 (x + 5)) + 2 : - \infty < x < \infty

Range of

8 sin (7 (x + 5)) + 2 : - 6 \leq f (x) \leq 10

Axis interception points of

8 sin (7 (x + 5)) + 2 :

X Intercepts

: (\frac{12 π}{7} - \frac{arcsin ( \frac{1}{4} )}{7} - 5 + \frac{2 πn}{7}, 0), (\frac{13 π}{7} + \frac{arcsin ( \frac{1}{4} )}{7} - 5 + \frac{2 πn}{7}, 0),

Y Intercepts

: (0, 8 sin (7 (0 + 5)) + 2)

Asymptotes of

8 sin (7 (x + 5)) + 2 :

None

Extreme Points of

8 sin (7 (x + 5)) + 2 :

Minimum

(\frac{23 π - 70}{14} + \frac{2 π}{7} n, - 6),

Maximum

(\frac{25 π - 70}{14} + \frac{2 π}{7} n, 10)

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Frequently Asked Questions (FAQ)

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