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Popular >

f(x)=(1/8)(x^3+3x^2-9x-27)

Solution

f (x) = (\frac{1}{8}) (x^{3} + 3 x^{2} - 9 x - 27)

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 3, 0), (3, 0), Y Intercepts : (0, - \frac{27}{8})

Asymptotes : None

Extreme Points : Maximum (- 3, 0), Minimum (1, - 4)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{1}{8} (x^{3} + 3 x^{2} - 9 x - 27) : - \infty < x < \infty

Range of

\frac{1}{8} (x^{3} + 3 x^{2} - 9 x - 27) : - \infty < f (x) < \infty

Axis interception points of

\frac{1}{8} (x^{3} + 3 x^{2} - 9 x - 27) :

X Intercepts

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

Y Intercepts

: (0, - \frac{27}{8})

Asymptotes of

\frac{1}{8} (x^{3} + 3 x^{2} - 9 x - 27) :

None

Extreme Points of

\frac{1}{8} (x^{3} + 3 x^{2} - 9 x - 27) :

Maximum

(- 3, 0),

Minimum

(1, - 4)

Popular Examples

y = - 2 x^{2} - 4 x - 5

y = x^{3} + 4 x^{2}

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

x = - 4 t + 2 t^{2}

p(x)=(-300x)/((x^2+9)^{3/2)}

p (x) = \frac{- 300 x}{( x ^{2} + 9 ) ^{\frac{3}{2}}}

Frequently Asked Questions (FAQ)

What is the f(x)=(1/8)(x^3+3x^2-9x-27) ?
The f(x)=(1/8)(x^3+3x^2-9x-27) is