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Popular >

f(x)=sin(x)+sin^2(x)

Solution

f (x) = sin (x) + sin^{2} (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : - \frac{1}{4} \leq f (x) \leq 2

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

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} + 2 πn, 2), Minimum (\frac{7 π}{6} + 2 πn, - \frac{1}{4}), Maximum (\frac{3 π}{2} + 2 πn, 0), Minimum (\frac{11 π}{6} + 2 πn, - \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{4}, 2]

Solution steps

Periodicity of

sin (x) + sin^{2} (x) : 2 π

Domain of

sin (x) + sin^{2} (x) : - \infty < x < \infty

Range of

sin (x) + sin^{2} (x) : - \frac{1}{4} \leq f (x) \leq 2

Axis interception points of

sin (x) + sin^{2} (x) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

sin (x) + sin^{2} (x) :

None

Extreme Points of

sin (x) + sin^{2} (x) :

Maximum

(\frac{π}{2} + 2 πn, 2),

Minimum

(\frac{7 π}{6} + 2 πn, - \frac{1}{4}),

Maximum

(\frac{3 π}{2} + 2 πn, 0),

Minimum

(\frac{11 π}{6} + 2 πn, - \frac{1}{4})

Popular Examples

y=x^{(2)}+8x+18

y = x^{(2)} + 8 x + 18

f (x) = 2 x^{2} + 7 x - 5

f (x) = 3 x^{2} - 5 x - 6

y = x x^{2} - 1

y=log_{10}(x^2)

y = lo g_{10} (x^{2})

Frequently Asked Questions (FAQ)

What is the f(x)=sin(x)+sin^2(x) ?
The f(x)=sin(x)+sin^2(x) is