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Popular >

f(x)=3x^3-4x^2-12x+10

Solution

f (x) = 3 x^{3} - 4 x^{2} - 12 x + 10

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.75120 \dots, 0), (- 1.83544 \dots, 0), (2.41756 \dots, 0), Y Intercepts : (0, 10)

Asymptotes : None

Extreme Points : Maximum (\frac{2 ( 2 - 31 )}{9}, \frac{496 31 - 1424}{243} + 10), Minimum (\frac{2 ( 2 + 31 )}{9}, \frac{- 1424 - 496 31}{243} + 10)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

3 x^{3} - 4 x^{2} - 12 x + 10 : - \infty < x < \infty

Range of

3 x^{3} - 4 x^{2} - 12 x + 10 : - \infty < f (x) < \infty

Axis interception points of

3 x^{3} - 4 x^{2} - 12 x + 10 :

X Intercepts

: (0.75120 \dots, 0), (- 1.83544 \dots, 0), (2.41756 \dots, 0),

Y Intercepts

: (0, 10)

Asymptotes of

3 x^{3} - 4 x^{2} - 12 x + 10 :

None

Extreme Points of

3 x^{3} - 4 x^{2} - 12 x + 10 :

Maximum

(\frac{2 ( 2 - 31 )}{9}, \frac{496 31 - 1424}{243} + 10),

Minimum

(\frac{2 ( 2 + 31 )}{9}, \frac{- 1424 - 496 31}{243} + 10)

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Frequently Asked Questions (FAQ)

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