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Popular >

f(x)=x^3+5x^2-17x-21

Solution

f (x) = x^{3} + 5 x^{2} - 17 x - 21

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1, 0), (3, 0), (- 7, 0), Y Intercepts : (0, - 21)

Asymptotes : None

Extreme Points : Maximum (- \frac{5 + 2 19}{3}, \frac{1015 + 304 19}{27} - 21), Minimum (\frac{- 5 + 2 19}{3}, \frac{1015 - 304 19}{27} - 21)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + 5 x^{2} - 17 x - 21 : - \infty < x < \infty

Range of

x^{3} + 5 x^{2} - 17 x - 21 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + 5 x^{2} - 17 x - 21 :

X Intercepts

: (- 1, 0), (3, 0), (- 7, 0),

Y Intercepts

: (0, - 21)

Asymptotes of

x^{3} + 5 x^{2} - 17 x - 21 :

None

Extreme Points of

x^{3} + 5 x^{2} - 17 x - 21 :

Maximum

(- \frac{5 + 2 19}{3}, \frac{1015 + 304 19}{27} - 21),

Minimum

(\frac{- 5 + 2 19}{3}, \frac{1015 - 304 19}{27} - 21)

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Frequently Asked Questions (FAQ)

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