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Popular >

f(x)=(4-x^2)(x+1)

Solution

f (x) = (4 - x^{2}) (x + 1)

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (- 2, 0), (2, 0), (- 1, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Minimum (- \frac{1 + 13}{3}, \frac{- 38 - 26 13}{27} + 4), Maximum (\frac{13 - 1}{3}, \frac{26 13 - 38}{27} + 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 2, 0), (2, 0), (- 1, 0),

Y Intercepts

: (0, 4)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{1 + 13}{3}, \frac{- 38 - 26 13}{27} + 4),

Maximum

(\frac{13 - 1}{3}, \frac{26 13 - 38}{27} + 4)

Graph

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\frac{d y}{d x} = \frac{1}{10} (500 y - y^{2})

(dy)/(dt)=e^{-y}

\frac{d y}{d t} = e^{- y}

integral of 1/9 e^{9x}

\int \frac{1}{9} e^{9 x} d x

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Frequently Asked Questions (FAQ)

What is the f(x)=(4-x^2)(x+1) ?
The f(x)=(4-x^2)(x+1) is