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Popular Functions >

f(x)=x^4+2x^3-3x^2

Solution

f (x) = x^{4} + 2 x^{3} - 3 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{( - 3 - 33 ) ^{4}}{256} - 3 (6 + 33)

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

Asymptotes : None

Extreme Points : Minimum (\frac{- 3 - 33}{4}, \frac{( - 3 - 33 ) ^{4}}{256} - 3 (6 + 33)), Maximum (0, 0), Minimum (\frac{- 3 + 33}{4}, \frac{( - 3 + 33 ) ^{4}}{256} + 3 (33 - 6))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{( - 3 - 33 ) ^{4}}{256} - 3 (6 + 33), \infty)

Solution steps

Domain of

x^{4} + 2 x^{3} - 3 x^{2} : - \infty < x < \infty

Range of

x^{4} + 2 x^{3} - 3 x^{2} : f (x) \geq \frac{( - 3 - 33 ) ^{4}}{256} - 3 (6 + 33)

Axis interception points of

x^{4} + 2 x^{3} - 3 x^{2} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{4} + 2 x^{3} - 3 x^{2} :

None

Extreme Points of

x^{4} + 2 x^{3} - 3 x^{2} :

Minimum

(\frac{- 3 - 33}{4}, \frac{( - 3 - 33 ) ^{4}}{256} - 3 (6 + 33)),

Maximum

(0, 0),

Minimum

(\frac{- 3 + 33}{4}, \frac{( - 3 + 33 ) ^{4}}{256} + 3 (33 - 6))

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=x^4+2x^3-3x^2 ?
The f(x)=x^4+2x^3-3x^2 is