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-x^2-2

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{9}{4}

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, - 2)

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{2}, - \frac{9}{4}), Maximum (0, - 2), Minimum (\frac{1}{2}, - \frac{9}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{9}{4}, \infty)

Solution steps

Domain of

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

Range of

x^{4} - x^{2} - 2 : f (x) \geq - \frac{9}{4}

Axis interception points of

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

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, - 2)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(- \frac{1}{2}, - \frac{9}{4}),

Maximum

(0, - 2),

Minimum

(\frac{1}{2}, - \frac{9}{4})

Popular Examples

f (x) = x^{4} - x^{2} + 5

y = x^{2} - 4 x - 165

f (y) = 60 y^{12}

f(x)=4x+2+0.5x^2

f (x) = 4 x + 2 + 0.5 x^{2}

f (x) = ∣ 3 - x ∣ + 4

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-x^2-2 ?
The f(x)=x^4-x^2-2 is