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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{429861716 + 13613428 1009}{186624}

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

Asymptotes : None

Extreme Points : Maximum (\frac{- 17 - 1009}{12}, \frac{429861716 + 13613428 1009}{186624}), Saddle (0, 0), Minimum (\frac{- 17 + 1009}{12}, - \frac{13613428 1009 - 429861716}{186624}), Maximum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{429861716 + 13613428 1009}{186624}]

Solution steps

Domain of

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

Range of

- 2 x^{3} (x - 2)^{2} (x + 5) : f (x) \leq \frac{429861716 + 13613428 1009}{186624}

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{- 17 - 1009}{12}, \frac{429861716 + 13613428 1009}{186624}),

Saddle

(0, 0),

Minimum

(\frac{- 17 + 1009}{12}, - \frac{13613428 1009 - 429861716}{186624}),

Maximum

(2, 0)

Popular Examples

f(x)=2x^3-6x^2+6x+1

f (x) = 2 x^{3} - 6 x^{2} + 6 x + 1

y=-1/16 x^2+4x+3

y = - \frac{1}{16} x^{2} + 4 x + 3

f(x)=x^2-2.5x+1

f (x) = x^{2} - 2.5 x + 1

y=log_{10}(x-3)(x+5)

y = lo g_{10} (x - 3) (x + 5)

f (x) = 7 x + 24

Frequently Asked Questions (FAQ)

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