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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{69949 + 6045 65}{128}

X Intercepts : (0, 0), (4, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Minimum (\frac{- 1 - 65}{4}, - \frac{69949 + 6045 65}{128}), Maximum (0, 0), Minimum (\frac{- 1 + 65}{4}, \frac{6045 65 - 69949}{128}), Saddle (4, 0)

+1

Solution steps

Domain of

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

Range of

x^{2} (x - 4)^{3} (x + 3) : f (x) \geq - \frac{69949 + 6045 65}{128}

Axis interception points of

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

X Intercepts

: (0, 0), (4, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Minimum

(\frac{- 1 - 65}{4}, - \frac{69949 + 6045 65}{128}),

Maximum

(0, 0),

Minimum

(\frac{- 1 + 65}{4}, \frac{6045 65 - 69949}{128}),

Saddle

(4, 0)

Popular Examples

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

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

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)

Frequently Asked Questions (FAQ)

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