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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 30

X Intercepts : (- 0.39066 \dots, 0), (0.45788 \dots, 0), (1.35334 \dots, 0), (- 2.75389 \dots, 0), Y Intercepts : (0, 2)

Asymptotes : None

Extreme Points : Minimum (- 2, - 30), Maximum (0, 2), Minimum (1, - 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 30, \infty)

Solution steps

Domain of

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

Range of

3 x^{4} + 4 x^{3} - 12 x^{2} + 2 : f (x) \geq - 30

Axis interception points of

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

X Intercepts

: (- 0.39066 \dots, 0), (0.45788 \dots, 0), (1.35334 \dots, 0), (- 2.75389 \dots, 0),

Y Intercepts

: (0, 2)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- 2, - 30),

Maximum

(0, 2),

Minimum

(1, - 3)

Popular Examples

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

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

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p (x) = 6 x^{2} (x^{2} + 2 x) (2 + 3 x) - 5 x^{3} (x - 1) + 2 x

y = \frac{x ^{2}}{e ^{x}}

y = 2 x^{2} - 9 x - 5

f(x)=(tan(x)-1)/(tan(x)+1)

f (x) = \frac{tan ( x ) - 1}{tan ( x ) + 1}

Frequently Asked Questions (FAQ)

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