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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (2, 0), (- 2, 0), (3, 0), Y Intercepts : (0, - 12)

Asymptotes : None

Extreme Points : Minimum (- \frac{- 3 + 21}{3}, - \frac{14 21 - 54}{9} - 12), Maximum (\frac{3 + 21}{3}, - \frac{- 54 - 14 21}{9} - 12)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

- (x - 2) (x + 2) (x - 3) : - \infty < x < \infty

Range of

- (x - 2) (x + 2) (x - 3) : - \infty < f (x) < \infty

Axis interception points of

- (x - 2) (x + 2) (x - 3) :

X Intercepts

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

Y Intercepts

: (0, - 12)

Asymptotes of

- (x - 2) (x + 2) (x - 3) :

None

Extreme Points of

- (x - 2) (x + 2) (x - 3) :

Minimum

(- \frac{- 3 + 21}{3}, - \frac{14 21 - 54}{9} - 12),

Maximum

(\frac{3 + 21}{3}, - \frac{- 54 - 14 21}{9} - 12)

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Frequently Asked Questions (FAQ)

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