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Popular >

P(x)=x^3+3x^2-4x-12

Solution

P (x) = x^{3} + 3 x^{2} - 4 x - 12

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : None

Extreme Points : Maximum (- \frac{3 + 21}{3}, \frac{- 36 - 4 21}{9} + 221 - 2), Minimum (\frac{- 3 + 21}{3}, \frac{4 21 - 36}{9} - 2 - 221)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{3} + 3 x^{2} - 4 x - 12 : - \infty < x < \infty

Range of

x^{3} + 3 x^{2} - 4 x - 12 : - \infty < f (x) < \infty

Axis interception points of

x^{3} + 3 x^{2} - 4 x - 12 :

X Intercepts

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

Y Intercepts

: (0, - 12)

Asymptotes of

x^{3} + 3 x^{2} - 4 x - 12 :

None

Extreme Points of

x^{3} + 3 x^{2} - 4 x - 12 :

Maximum

(- \frac{3 + 21}{3}, \frac{- 36 - 4 21}{9} + 221 - 2),

Minimum

(\frac{- 3 + 21}{3}, \frac{4 21 - 36}{9} - 2 - 221)

Popular Examples

f(n)=3n^2-15n+18

f (n) = 3 n^{2} - 15 n + 18

y=-1+2sin(pi(3-4x))

y = - 1 + 2 sin (π (3 - 4 x))

f (- 2) = - x^{2} - 9 x

g(x)=sqrt(25-x^2)

g (x) = 25 - x^{2}

y=sin(2x)+xsin(x)

y = sin (2 x) + x sin (x)

Frequently Asked Questions (FAQ)

What is the P(x)=x^3+3x^2-4x-12 ?
The P(x)=x^3+3x^2-4x-12 is