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Popular >

f(x)=x^2(x-4)^3(x+5)

Solution

f (x) = x^{2} (x - 4)^{3} (x + 5)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{- 1583653076 - 44514212 1129}{373248}

X Intercepts : (0, 0), (4, 0), (- 5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{- 13 - 1129}{12}, \frac{- 1583653076 - 44514212 1129}{373248}), Maximum (0, 0), Minimum (\frac{- 13 + 1129}{12}, \frac{44514212 1129 - 1583653076}{373248}), Saddle (4, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{- 1583653076 - 44514212 1129}{373248}, \infty)

Solution steps

Domain of

x^{2} (x - 4)^{3} (x + 5) : - \infty < x < \infty

Range of

x^{2} (x - 4)^{3} (x + 5) : f (x) \geq \frac{- 1583653076 - 44514212 1129}{373248}

Axis interception points of

x^{2} (x - 4)^{3} (x + 5) :

X Intercepts

: (0, 0), (4, 0), (- 5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} (x - 4)^{3} (x + 5) :

None

Extreme Points of

x^{2} (x - 4)^{3} (x + 5) :

Minimum

(\frac{- 13 - 1129}{12}, \frac{- 1583653076 - 44514212 1129}{373248}),

Maximum

(0, 0),

Minimum

(\frac{- 13 + 1129}{12}, \frac{44514212 1129 - 1583653076}{373248}),

Saddle

(4, 0)

Popular Examples

f(x)=3x^4+16x^3+24x^2+10

f (x) = 3 x^{4} + 16 x^{3} + 24 x^{2} + 10

y = \frac{- 2 x - 4}{5}

g(x)=x(x-2)4(x+3)3

g (x) = x (x - 2) 4 (x + 3) 3

y=\sqrt[3]{x}(2+x)

y=sqrt((2x)/(x^2-4))

y = \frac{2 x}{x ^{2} - 4}

Frequently Asked Questions (FAQ)

What is the f(x)=x^2(x-4)^3(x+5) ?
The f(x)=x^2(x-4)^3(x+5) is