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Popular >

y=3x^4-4x^3-12x^2

Solution

y = 3 x^{4} - 4 x^{3} - 12 x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 32

X Intercepts : (0, 0), (\frac{2 ( 1 + 10 )}{3}, 0), (\frac{2 ( 1 - 10 )}{3}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (- 1, - 5), Maximum (0, 0), Minimum (2, - 32)

+1

Solution steps

Domain of

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

Range of

3 x^{4} - 4 x^{3} - 12 x^{2} : f (x) \geq - 32

Axis interception points of

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

X Intercepts

: (0, 0), (\frac{2 ( 1 + 10 )}{3}, 0), (\frac{2 ( 1 - 10 )}{3}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 1, - 5),

Maximum

(0, 0),

Minimum

(2, - 32)

Popular Examples

R (x) = x

y = lo g_{3} (x + 2)

f (x) = 4 x^{2} - 3 x + 1

y = x^{2} + 8 x

f (x) = - 2 x + 10

Frequently Asked Questions (FAQ)

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