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Popular Functions >

f(x)=(x+5)^2(x+1)^6(x-2)^4

Solution

f (x) = (x + 5)^{2} \cdot (x + 1)^{6} \cdot (x - 2)^{4}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq 0

X Intercepts : (- 5, 0), (- 1, 0), (2, 0), Y Intercepts : (0, 400)

Asymptotes : None

Extreme Points : Minimum (- 5, 0), Maximum (- \frac{5 + 58}{3}, - 48058 + \frac{35602051168 58 + 271814634992}{531441} - 2528), Minimum (- 1, 0), Maximum (\frac{- 5 + 58}{3}, 48058 + \frac{271814634992 - 35602051168 58}{531441} - 2528), Minimum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [0, \infty)

Solution steps

Domain of

(x + 5)^{2} \cdot (x + 1)^{6} \cdot (x - 2)^{4} : - \infty < x < \infty

Range of

(x + 5)^{2} \cdot (x + 1)^{6} \cdot (x - 2)^{4} : f (x) \geq 0

Axis interception points of

(x + 5)^{2} \cdot (x + 1)^{6} \cdot (x - 2)^{4} :

X Intercepts

: (- 5, 0), (- 1, 0), (2, 0),

Y Intercepts

: (0, 400)

Asymptotes of

(x + 5)^{2} \cdot (x + 1)^{6} \cdot (x - 2)^{4} :

None

Extreme Points of

(x + 5)^{2} \cdot (x + 1)^{6} \cdot (x - 2)^{4} :

Minimum

(- 5, 0),

Maximum

(- \frac{5 + 58}{3}, - 48058 + \frac{35602051168 58 + 271814634992}{531441} - 2528),

Minimum

(- 1, 0),

Maximum

(\frac{- 5 + 58}{3}, 48058 + \frac{271814634992 - 35602051168 58}{531441} - 2528),

Minimum

(2, 0)

Graph

Popular Examples

f(x)=sqrt((x-2011)^2+(x-1)^2)

f(x)=x^3-13x^2+32x+20

f(x)=(x^3+x^2)^{1/3}

Frequently Asked Questions (FAQ)

What is the f(x)=(x+5)^2*(x+1)^6*(x-2)^4 ?
The f(x)=(x+5)^2*(x+1)^6*(x-2)^4 is