en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

f(x)=x^4-8x^2+8

Solution

f (x) = x^{4} - 8 x^{2} + 8

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 8

X Intercepts : (2 (2 + 2), 0), (- 2 (2 + 2), 0), (2 (2 - 2), 0), (- 2 (2 - 2), 0), Y Intercepts : (0, 8)

Asymptotes : None

Extreme Points : Minimum (- 2, - 8), Maximum (0, 8), Minimum (2, - 8)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 8, \infty)

Solution steps

Domain of

x^{4} - 8 x^{2} + 8 : - \infty < x < \infty

Range of

x^{4} - 8 x^{2} + 8 : f (x) \geq - 8

Axis interception points of

x^{4} - 8 x^{2} + 8 :

X Intercepts

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

Y Intercepts

: (0, 8)

Asymptotes of

x^{4} - 8 x^{2} + 8 :

None

Extreme Points of

x^{4} - 8 x^{2} + 8 :

Minimum

(- 2, - 8),

Maximum

(0, 8),

Minimum

(2, - 8)

Popular Examples

f(x)=2x^3+3x^2-12x+6

f (x) = 2 x^{3} + 3 x^{2} - 12 x + 6

f(x)=sin^2(2x^3+2x^2)

f (x) = sin^{2} (2 x^{3} + 2 x^{2})

parity y=(x^2e^x)/(x^2+e^x)parity

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

f(x)=3x^2-4x^8+x^9

f (x) = 3 x^{2} - 4 x^{8} + x^{9}

y = \frac{1}{2} x^{2} - 1

Frequently Asked Questions (FAQ)

What is the f(x)=x^4-8x^2+8 ?
The f(x)=x^4-8x^2+8 is