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Popular Functions >

f(x)=(x+3)^2(x^3-x^2)

Solution

f (x) = (x + 3)^{2} (x^{3} - x^{2})

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (- 3, 0), (1, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 3, 0), Minimum (\frac{- 5 - 145}{10}, - \frac{950 + 58 145}{125}), Maximum (0, 0), Minimum (\frac{- 5 + 145}{10}, \frac{58 145 - 950}{125})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0), (- 3, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 3, 0),

Minimum

(\frac{- 5 - 145}{10}, - \frac{950 + 58 145}{125}),

Maximum

(0, 0),

Minimum

(\frac{- 5 + 145}{10}, \frac{58 145 - 950}{125})

Graph

Popular Examples

f(x)=2x^3-2x^2-84x

f(x)=\sqrt[3]{x^2-3x+6}

y=((x^22x-3))/(((x-2)^2))

f(x)=(|x+1|-3)/(1+|x-3|)

f(x)=\sqrt[4]{x^2+x}

Frequently Asked Questions (FAQ)

What is the f(x)=(x+3)^2(x^3-x^2) ?
The f(x)=(x+3)^2(x^3-x^2) is