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Popular >

f(x)=6x^3+7x^2-43x-30

Solution

f (x) = 6 x^{3} + 7 x^{2} - 43 x - 30

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 3, 0), (- \frac{2}{3}, 0), (\frac{5}{2}, 0), Y Intercepts : (0, - 30)

Asymptotes : None

Extreme Points : Maximum (- \frac{7 + 823}{18}, \frac{8470 + 823 823}{486} - 30), Minimum (\frac{- 7 + 823}{18}, \frac{8470 - 823 823}{486} - 30)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

6 x^{3} + 7 x^{2} - 43 x - 30 : - \infty < x < \infty

Range of

6 x^{3} + 7 x^{2} - 43 x - 30 : - \infty < f (x) < \infty

Axis interception points of

6 x^{3} + 7 x^{2} - 43 x - 30 :

X Intercepts

: (- 3, 0), (- \frac{2}{3}, 0), (\frac{5}{2}, 0),

Y Intercepts

: (0, - 30)

Asymptotes of

6 x^{3} + 7 x^{2} - 43 x - 30 :

None

Extreme Points of

6 x^{3} + 7 x^{2} - 43 x - 30 :

Maximum

(- \frac{7 + 823}{18}, \frac{8470 + 823 823}{486} - 30),

Minimum

(\frac{- 7 + 823}{18}, \frac{8470 - 823 823}{486} - 30)

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Frequently Asked Questions (FAQ)

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