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Popular Functions >

y=(x+1)^2(x^2+1)^{-3}

Solution

y = (x + 1)^{2} (x^{2} + 1)^{- 3}

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq \frac{71 + 17 17}{108}

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (\frac{- 3 - 17}{4}, \frac{71 - 17 17}{108}), Minimum (- 1, 0), Maximum (\frac{- 3 + 17}{4}, \frac{71 + 17 17}{108})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{71 + 17 17}{108}]

Solution steps

Domain of

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

Range of

(x + 1)^{2} (x^{2} + 1)^{- 3} : 0 < f (x) \leq \frac{71 + 17 17}{108}

Axis interception points of

(x + 1)^{2} (x^{2} + 1)^{- 3} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, 1)

Asymptotes of

(x + 1)^{2} (x^{2} + 1)^{- 3} :

Horizontal

: y = 0

Extreme Points of

(x + 1)^{2} (x^{2} + 1)^{- 3} :

Maximum

(\frac{- 3 - 17}{4}, \frac{71 - 17 17}{108}),

Minimum

(- 1, 0),

Maximum

(\frac{- 3 + 17}{4}, \frac{71 + 17 17}{108})

Graph

Popular Examples

f(x)=(2x^2+7x+3)/(x+3)

f(x)=(1/4)^{x^4}-8/3 x^3+9/2 x^2+18x+1

f(t)=(3t)/(t+t^2)

f(x)=(x+2)/(x+8)

Frequently Asked Questions (FAQ)

What is the y=(x+1)^2(x^2+1)^{-3} ?
The y=(x+1)^2(x^2+1)^{-3} is