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Popular Calculus >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : \frac{50 - 11 22}{96} \leq f (x) \leq \frac{50 + 11 22}{96}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{4 + 22}{6}, \frac{50 - 11 22}{96}), Maximum (\frac{22 - 4}{6}, \frac{50 + 11 22}{96})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{50 - 11 22}{96}, \frac{50 + 11 22}{96}]

Solution steps

Domain of

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

Range of

\frac{1 + x}{( 2 x ^{2} + 1 ) ^{2}} : \frac{50 - 11 22}{96} \leq f (x) \leq \frac{50 + 11 22}{96}

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- \frac{4 + 22}{6}, \frac{50 - 11 22}{96}),

Maximum

(\frac{22 - 4}{6}, \frac{50 + 11 22}{96})

Graph

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Frequently Asked Questions (FAQ)

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