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Popular >

y=sin(10x-2)+4

Solution

y = sin (10 x - 2) + 4

Solution

Period : \frac{π}{5}

Domain : - \infty < x < \infty

Range : 3 \leq f (x) \leq 5

Y Intercepts : (0, sin (10 \cdot 0 - 2) + 4)

Asymptotes : None

Extreme Points : Minimum (\frac{4 - π}{20} + \frac{π}{5} n, 3), Maximum (\frac{1}{5} + \frac{π}{20} + \frac{π}{5} n, 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [3, 5]

Solution steps

Periodicity of

sin (10 x - 2) + 4 : \frac{π}{5}

Domain of

sin (10 x - 2) + 4 : - \infty < x < \infty

Range of

sin (10 x - 2) + 4 : 3 \leq f (x) \leq 5

Axis interception points of

sin (10 x - 2) + 4 :

Y Intercepts

: (0, sin (10 \cdot 0 - 2) + 4)

Asymptotes of

sin (10 x - 2) + 4 :

None

Extreme Points of

sin (10 x - 2) + 4 :

Minimum

(\frac{4 - π}{20} + \frac{π}{5} n, 3),

Maximum

(\frac{1}{5} + \frac{π}{20} + \frac{π}{5} n, 5)

Popular Examples

f(t)=sqrt(4+t^3)

f (t) = 4 + t^{3}

f (k) = 2^{k - 1}

f (x) = 8 \cdot 1. 2^{x} - 6

f(x)=2x^3-2x^2-17x+30

f (x) = 2 x^{3} - 2 x^{2} - 17 x + 30

y = - 0.5 x^{2} + 5 x - 8

Frequently Asked Questions (FAQ)

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