en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=x^3(x-2)^2(x+4)^2

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (2, 0), (- 4, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 4, 0), Minimum (- \frac{5 + 193}{7}, - \frac{290089728 + 22678272 193}{823543}), Saddle (0, 0), Maximum (\frac{- 5 + 193}{7}, \frac{22678272 193 - 290089728}{823543}), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

x^{3} (x - 2)^{2} (x + 4)^{2} : - \infty < f (x) < \infty

Axis interception points of

x^{3} (x - 2)^{2} (x + 4)^{2} :

X Intercepts

: (0, 0), (2, 0), (- 4, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} (x - 2)^{2} (x + 4)^{2} :

None

Extreme Points of

x^{3} (x - 2)^{2} (x + 4)^{2} :

Maximum

(- 4, 0),

Minimum

(- \frac{5 + 193}{7}, - \frac{290089728 + 22678272 193}{823543}),

Saddle

(0, 0),

Maximum

(\frac{- 5 + 193}{7}, \frac{22678272 193 - 290089728}{823543}),

Minimum

(2, 0)

Popular Examples

p(x)=2x-5x^5+3x^2

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

f (x) = x^{22} x - 3

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

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

f(x)=37x^3-67x^2-8x+4

f (x) = 37 x^{3} - 67 x^{2} - 8 x + 4

f(x)=cos(3x^2-x)

f (x) = cos (3 x^{2} - x)

Frequently Asked Questions (FAQ)

What is the y=x^3(x-2)^2(x+4)^2 ?
The y=x^3(x-2)^2(x+4)^2 is