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Popular >

f(x)=3x^3+11x^2+x+3

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 3.65039 \dots, 0), Y Intercepts : (0, 3)

Asymptotes : None

Extreme Points : Maximum (- \frac{11 + 4 7}{9}, \frac{2365 + 896 7}{243} + 3), Minimum (\frac{- 11 + 4 7}{9}, \frac{2365 - 896 7}{243} + 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

3 x^{3} + 11 x^{2} + x + 3 :

X Intercepts

: (- 3.65039 \dots, 0),

Y Intercepts

: (0, 3)

Asymptotes of

3 x^{3} + 11 x^{2} + x + 3 :

None

Extreme Points of

3 x^{3} + 11 x^{2} + x + 3 :

Maximum

(- \frac{11 + 4 7}{9}, \frac{2365 + 896 7}{243} + 3),

Minimum

(\frac{- 11 + 4 7}{9}, \frac{2365 - 896 7}{243} + 3)

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Frequently Asked Questions (FAQ)

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