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Popular >

f(0)= x/(x^2+1)

Solution

f (0) = \frac{x}{x ^{2} + 1}

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

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

Popular Examples

f (x) = x^{\frac{5}{9}}

y=(2x)/(sqrt(x^2+a^2))

y = \frac{2 x}{x ^{2} + a ^{2}}

f (x) = x^{6} e^{x}

y = 3 x^{2} - 4 x + 1

f(x)=(x^2-2x-35)e^{-0.12x}

f (x) = (x^{2} - 2 x - 35) e^{- 0.12 x}

Frequently Asked Questions (FAQ)

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