en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

Interval Notation

Domain : (- \infty, \infty)

Range : [- 138.06464 \dots, \infty)

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)

Popular Examples

f (m) = m^{2} + 4 m - 21

f (x) = x^{2} - 10 x - 1

f(x)= 5/10 x^{(10/5)}+1/4 x^{(-8)}

f (x) = \frac{5}{10} x^{(\frac{10}{5})} + \frac{1}{4} x^{(- 8)}

P(x)=3x^3+41x^2+41x+27

P (x) = 3 x^{3} + 41 x^{2} + 41 x + 27

f (x) = 3 x e

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