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Popular >

f(x)=1+sin(x)

Solution

f (x) = 1 + sin (x)

Solution

Period : 2 π

Domain : - \infty < x < \infty

Range : 0 \leq f (x) \leq 2

X Intercepts : (\frac{3 π}{2} + 2 πn, 0), Y Intercepts : (0, 1)

Asymptotes : None

Extreme Points : Maximum (\frac{π}{2} + 2 πn, 2), Minimum (\frac{3 π}{2} + 2 πn, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, 2]

Solution steps

Periodicity of

1 + sin (x) : 2 π

Domain of

1 + sin (x) : - \infty < x < \infty

Range of

1 + sin (x) : 0 \leq f (x) \leq 2

Axis interception points of

1 + sin (x) :

X Intercepts

: (\frac{3 π}{2} + 2 πn, 0),

Y Intercepts

: (0, 1)

Asymptotes of

1 + sin (x) :

None

Extreme Points of

1 + sin (x) :

Maximum

(\frac{π}{2} + 2 πn, 2),

Minimum

(\frac{3 π}{2} + 2 πn, 0)

Popular Examples

(dy)/(dx)=(x^2+y^2)/(xy)

\frac{d y}{d x} = \frac{x ^{2} + y ^{2}}{x y}

derivative of 9x^2 derivative of

9 x^{2}

maclaurin f(x)= x/2 (1+(x/2)^2)^{-1/2}maclaurin

f (x) = \frac{x}{2} (1 + (\frac{x}{2})^{2})^{- \frac{1}{2}}

roots ax^2+bx+c roots

a x^{2} + b x + c

(dy)/(dx)+x/y =0

\frac{d y}{d x} + \frac{x}{y} = 0

Frequently Asked Questions (FAQ)

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