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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

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

Popular Examples

\frac{d y}{d x} - 3 y = 2

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\int \frac{1}{( x ^{2} - 9 )} d x

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\int 3 (3 x + 4) 5 d x

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\frac{d y}{d x} y = (2 x + 8)^{3}

integral of e^{4x}sin(2x)

\int e^{4 x} sin (2 x) d x

Frequently Asked Questions (FAQ)

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