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Popular >

f(x)=x^4+3x^3-12x^2+2x-1

Solution

f (x) = x^{4} + 3 x^{3} - 12 x^{2} + 2 x - 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 138.06464 \dots

X Intercepts : (2.18008 \dots, 0), (- 5.32890 \dots, 0), Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Minimum (- 3.84450 \dots, - 138.06464 \dots), Maximum (0.08622 \dots, - 0.91478 \dots), Minimum (1.50827 \dots, - 9.81353 \dots)

+1

Solution steps

Domain of

x^{4} + 3 x^{3} - 12 x^{2} + 2 x - 1 : - \infty < x < \infty

Range of

x^{4} + 3 x^{3} - 12 x^{2} + 2 x - 1 : f (x) \geq - 138.06464 \dots

Axis interception points of

x^{4} + 3 x^{3} - 12 x^{2} + 2 x - 1 :

X Intercepts

: (2.18008 \dots, 0), (- 5.32890 \dots, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

x^{4} + 3 x^{3} - 12 x^{2} + 2 x - 1 :

None

Extreme Points of

x^{4} + 3 x^{3} - 12 x^{2} + 2 x - 1 :

Minimum

(- 3.84450 \dots, - 138.06464 \dots),

Maximum

(0.08622 \dots, - 0.91478 \dots),

Minimum

(1.50827 \dots, - 9.81353 \dots)

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Frequently Asked Questions (FAQ)

What is the f(x)=x^4+3x^3-12x^2+2x-1 ?
The f(x)=x^4+3x^3-12x^2+2x-1 is