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Popular >

f(x)=-(x+3)(x+1)^2(2x-5)

Solution

f (x) = - (x + 3) (x + 1)^{2} (2 x - 5)

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq - \frac{- 2931 977 - 77387}{4096} + 15

X Intercepts : (- 3, 0), (- 1, 0), (\frac{5}{2}, 0), Y Intercepts : (0, 15)

Asymptotes : None

Extreme Points : Maximum (\frac{- 7 - 977}{16}, - \frac{2931 977 - 77387}{4096} + 15), Minimum (- 1, 0), Maximum (\frac{- 7 + 977}{16}, - \frac{- 2931 977 - 77387}{4096} + 15)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, - \frac{- 2931 977 - 77387}{4096} + 15]

Solution steps

Domain of

- (x + 3) (x + 1)^{2} (2 x - 5) : - \infty < x < \infty

Range of

- (x + 3) (x + 1)^{2} (2 x - 5) : f (x) \leq - \frac{- 2931 977 - 77387}{4096} + 15

Axis interception points of

- (x + 3) (x + 1)^{2} (2 x - 5) :

X Intercepts

: (- 3, 0), (- 1, 0), (\frac{5}{2}, 0),

Y Intercepts

: (0, 15)

Asymptotes of

- (x + 3) (x + 1)^{2} (2 x - 5) :

None

Extreme Points of

- (x + 3) (x + 1)^{2} (2 x - 5) :

Maximum

(\frac{- 7 - 977}{16}, - \frac{2931 977 - 77387}{4096} + 15),

Minimum

(- 1, 0),

Maximum

(\frac{- 7 + 977}{16}, - \frac{- 2931 977 - 77387}{4096} + 15)

Popular Examples

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y = c e^{6 x}

y = 3 x^{2} + 2 x^{3}

Frequently Asked Questions (FAQ)

What is the f(x)=-(x+3)(x+1)^2(2x-5) ?
The f(x)=-(x+3)(x+1)^2(2x-5) is