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Popular >

y=5sin(2 x/5-pi/5)+2

Solution

y = 5 sin (2 \frac{x}{5} - \frac{π}{5}) + 2

Solution

Period : 5 π

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 7

X Intercepts : (\frac{π}{2} - \frac{5 arcsin ( \frac{2}{5} )}{2} + 5 πn, 0), (3 π + \frac{5 arcsin ( \frac{2}{5} )}{2} + 5 πn, 0), Y Intercepts : (0, - \frac{5 2 5 - 5}{4} + 2)

Asymptotes : None

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 7]

Solution steps

Periodicity of

5 sin (2 \frac{x}{5} - \frac{π}{5}) + 2 : 5 π

Domain of

5 sin (2 \frac{x}{5} - \frac{π}{5}) + 2 : - \infty < x < \infty

Range of

5 sin (2 \frac{x}{5} - \frac{π}{5}) + 2 : - 3 \leq f (x) \leq 7

Axis interception points of

5 sin (2 \frac{x}{5} - \frac{π}{5}) + 2 :

X Intercepts

: (\frac{π}{2} - \frac{5 arcsin ( \frac{2}{5} )}{2} + 5 πn, 0), (3 π + \frac{5 arcsin ( \frac{2}{5} )}{2} + 5 πn, 0),

Y Intercepts

: (0, - \frac{5 2 5 - 5}{4} + 2)

Asymptotes of

5 sin (2 \frac{x}{5} - \frac{π}{5}) + 2 :

None

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f(x)=2x+arctan(5x)

f (x) = 2 x + arctan (5 x)

Frequently Asked Questions (FAQ)

What is the y=5sin(2 x/5-pi/5)+2 ?
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