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Popular >

f(x)=(3x)/(x^2+1)

Solution

f (x) = \frac{3 x}{x ^{2} + 1}

Solution

Domain : - \infty < x < \infty

Range : - \frac{3}{2} \leq f (x) \leq \frac{3}{2}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - \frac{3}{2}), Maximum (1, \frac{3}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{3}{2}, \frac{3}{2}]

Solution steps

Domain of

\frac{3 x}{x ^{2} + 1} : - \infty < x < \infty

Range of

\frac{3 x}{x ^{2} + 1} : - \frac{3}{2} \leq f (x) \leq \frac{3}{2}

Axis interception points of

\frac{3 x}{x ^{2} + 1} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{3 x}{x ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{3 x}{x ^{2} + 1} :

Minimum

(- 1, - \frac{3}{2}),

Maximum

(1, \frac{3}{2})

Popular Examples

integral of (x-1/x)

\int (x - \frac{1}{x}) d x

derivative of (x+1)/(x+3)derivative of

\frac{x + 1}{x + 3}

y^{''}-3y^'+2y=e^t

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{t}

integral of 4xln(3x)

\int 4 x ln (3 x) d x

((dy)/(dx))-(y/(3x))+(x/(3y))=0

(\frac{d y}{d x}) - (\frac{y}{3 x}) + (\frac{x}{3 y}) = 0

Frequently Asked Questions (FAQ)

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