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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 2, - \frac{1}{4}), Maximum (2, \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

\frac{x}{x ^{2} + 4} : - \infty < x < \infty

Range of

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

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

(- 2, - \frac{1}{4}),

Maximum

(2, \frac{1}{4})

Popular Examples

y = 8 x

f(x)=x^4-4x^3+10

f (x) = x^{4} - 4 x^{3} + 10

f (x) = ln (x + 3)

y = 5 x + 4

f (s) = \frac{1}{s}

Frequently Asked Questions (FAQ)

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