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Popular >

y=x^3+x^2-3x

Solution

y = x^{3} + x^{2} - 3 x

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (\frac{- 1 + 13}{2}, 0), (\frac{- 1 - 13}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- \frac{1 + 10}{3}, 10 + \frac{2 - 7 10}{27} + 1), Minimum (\frac{- 1 + 10}{3}, 1 - 10 + \frac{7 10 + 2}{27})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0), (\frac{- 1 + 13}{2}, 0), (\frac{- 1 - 13}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- \frac{1 + 10}{3}, 10 + \frac{2 - 7 10}{27} + 1),

Minimum

(\frac{- 1 + 10}{3}, 1 - 10 + \frac{7 10 + 2}{27})

Popular Examples

p (x) = - 8 x + 14

y = 7 + 4 x - x^{2}

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

f(n)=n^2+241n+6360

f (n) = n^{2} + 241 n + 6360

f(x)=(2x)/(1-x^3)

f (x) = \frac{2 x}{1 - x ^{3}}

Frequently Asked Questions (FAQ)

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