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Popular >

f(x)=-(2-x)^1(x+4)^2(x-3)^3

Solution

f (x) = - (2 - x)^{1} (x + 4)^{2} (x - 3)^{3}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{16185 65 - 133415}{128} - 27

X Intercepts : (2, 0), (- 4, 0), (3, 0), Y Intercepts : (0, 864)

Asymptotes : None

Extreme Points : Minimum (- 4, 0), Maximum (\frac{1 - 65}{4}, - \frac{- 133415 - 16185 65}{128} - 27), Minimum (\frac{1 + 65}{4}, - \frac{16185 65 - 133415}{128} - 27), Saddle (3, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{16185 65 - 133415}{128} - 27, \infty)

Solution steps

Domain of

- (2 - x)^{1} (x + 4)^{2} (x - 3)^{3} : - \infty < x < \infty

Range of

- (2 - x)^{1} (x + 4)^{2} (x - 3)^{3} : f (x) \geq - \frac{16185 65 - 133415}{128} - 27

Axis interception points of

- (2 - x)^{1} (x + 4)^{2} (x - 3)^{3} :

X Intercepts

: (2, 0), (- 4, 0), (3, 0),

Y Intercepts

: (0, 864)

Asymptotes of

- (2 - x)^{1} (x + 4)^{2} (x - 3)^{3} :

None

Extreme Points of

- (2 - x)^{1} (x + 4)^{2} (x - 3)^{3} :

Minimum

(- 4, 0),

Maximum

(\frac{1 - 65}{4}, - \frac{- 133415 - 16185 65}{128} - 27),

Minimum

(\frac{1 + 65}{4}, - \frac{16185 65 - 133415}{128} - 27),

Saddle

(3, 0)

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Frequently Asked Questions (FAQ)

What is the f(x)=-(2-x)^1(x+4)^2(x-3)^3 ?
The f(x)=-(2-x)^1(x+4)^2(x-3)^3 is