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Popular >

f(x)=x^3+5x^2-x-5

Solution

f (x) = x^{3} + 5 x^{2} - x - 5

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 5, 0), (- 1, 0), (1, 0), Y Intercepts : (0, - 5)

Asymptotes : None

Extreme Points : Maximum (- \frac{5 + 2 7}{3}, \frac{295 + 112 7}{27} - 5), Minimum (\frac{- 5 + 2 7}{3}, \frac{295 - 112 7}{27} - 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + 5 x^{2} - x - 5 : - \infty < x < \infty

Range of

x^{3} + 5 x^{2} - x - 5 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + 5 x^{2} - x - 5 :

X Intercepts

: (- 5, 0), (- 1, 0), (1, 0),

Y Intercepts

: (0, - 5)

Asymptotes of

x^{3} + 5 x^{2} - x - 5 :

None

Extreme Points of

x^{3} + 5 x^{2} - x - 5 :

Maximum

(- \frac{5 + 2 7}{3}, \frac{295 + 112 7}{27} - 5),

Minimum

(\frac{- 5 + 2 7}{3}, \frac{295 - 112 7}{27} - 5)

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Frequently Asked Questions (FAQ)

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