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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{3 ( 69 + 11 33 )}{32}

X Intercepts : (0, 0), (1, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{- 3 - 33}{4}, \frac{3 ( 69 + 11 33 )}{32}), Minimum (0, 0), Maximum (\frac{- 3 + 33}{4}, - \frac{3 ( 11 33 - 69 )}{32})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{3 ( 69 + 11 33 )}{32}]

Solution steps

Domain of

- x^{2} (x - 1) (x + 3) : - \infty < x < \infty

Range of

- x^{2} (x - 1) (x + 3) : f (x) \leq \frac{3 ( 69 + 11 33 )}{32}

Axis interception points of

- x^{2} (x - 1) (x + 3) :

X Intercepts

: (0, 0), (1, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- x^{2} (x - 1) (x + 3) :

None

Extreme Points of

- x^{2} (x - 1) (x + 3) :

Maximum

(\frac{- 3 - 33}{4}, \frac{3 ( 69 + 11 33 )}{32}),

Minimum

(0, 0),

Maximum

(\frac{- 3 + 33}{4}, - \frac{3 ( 11 33 - 69 )}{32})

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Frequently Asked Questions (FAQ)

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