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Popular >

f(x)=6x^3-19x^2+11x+6

Solution

f (x) = 6 x^{3} - 19 x^{2} + 11 x + 6

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (2, 0), (- \frac{1}{3}, 0), (\frac{3}{2}, 0), Y Intercepts : (0, 6)

Asymptotes : None

Extreme Points : Maximum (\frac{19 - 163}{18}, \frac{163 163 - 1216}{486} + 6), Minimum (\frac{19 + 163}{18}, \frac{- 1216 - 163 163}{486} + 6)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

6 x^{3} - 19 x^{2} + 11 x + 6 : - \infty < x < \infty

Range of

6 x^{3} - 19 x^{2} + 11 x + 6 : - \infty < f (x) < \infty

Axis interception points of

6 x^{3} - 19 x^{2} + 11 x + 6 :

X Intercepts

: (2, 0), (- \frac{1}{3}, 0), (\frac{3}{2}, 0),

Y Intercepts

: (0, 6)

Asymptotes of

6 x^{3} - 19 x^{2} + 11 x + 6 :

None

Extreme Points of

6 x^{3} - 19 x^{2} + 11 x + 6 :

Maximum

(\frac{19 - 163}{18}, \frac{163 163 - 1216}{486} + 6),

Minimum

(\frac{19 + 163}{18}, \frac{- 1216 - 163 163}{486} + 6)

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Frequently Asked Questions (FAQ)

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