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Popular Calculus >

f(x)=sqrt(x/(x^2+4))

Solution

f (x) = \frac{x}{x ^{2} + 4}

Solution

Domain : x \geq 0

Range : 0 \leq f (x) \leq \frac{1}{2}

X Intercepts : (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, 0), Maximum (2, \frac{1}{2})

+1

Interval Notation

Domain : [0, \infty)

Range : [0, \frac{1}{2}]

Solution steps

Domain of

\frac{x}{x ^{2} + 4} : x \geq 0

Range of

\frac{x}{x ^{2} + 4} : 0 \leq f (x) \leq \frac{1}{2}

Axis interception points of

\frac{x}{x ^{2} + 4} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x}{x ^{2} + 4} :

Horizontal

: y = 0

Extreme Points of

\frac{x}{x ^{2} + 4} :

Minimum

(0, 0),

Maximum

(2, \frac{1}{2})

Graph

Popular Examples

derivative of y=3+sqrt(9-(x-3)^2)

d er i v a t i v e y = 3 + 9 - (x - 3)^{2}

derivative of f(x)= 4/(5x+1)

d er i v a t i v e f (x) = \frac{4}{5 x + 1}

integral of (2x)/(x^2+6)

\int \frac{2 x}{x ^{2} + 6} d x

5 y^{^{'}} = y^{2}

(\partial)/(\partial x)(ln(9x^2+5y^2))

\frac{\partial}{\partial x} (ln (9 x^{2} + 5 y^{2}))

Frequently Asked Questions (FAQ)

What is the f(x)=sqrt(x/(x^2+4)) ?
The f(x)=sqrt(x/(x^2+4)) is