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Popular Calculus >

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

Solution

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

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

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

Graph

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Frequently Asked Questions (FAQ)

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