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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

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

Popular Examples

f (t) = t^{2} - 4^{t} + 4

f(x)= 1/(1+x^4)

f (x) = \frac{1}{1 + x ^{4}}

f(x)=ln(27+27x^3)

f (x) = ln (27 + 27 x^{3})

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

f (a) = 2 a + 1

Frequently Asked Questions (FAQ)

What is the f(x)= x/(2x^2+1) ?
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