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Popular >

f(x)=(x^3)/3+(x^2)/2-6x+8

Solution

f (x) = \frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 6 x + 8

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 5.53522 \dots, 0), Y Intercepts : (0, 8)

Asymptotes : None

Extreme Points : Maximum (- 3, \frac{43}{2}), Minimum (2, \frac{2}{3})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 6 x + 8 : - \infty < x < \infty

Range of

\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 6 x + 8 : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 6 x + 8 :

X Intercepts

: (- 5.53522 \dots, 0),

Y Intercepts

: (0, 8)

Asymptotes of

\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 6 x + 8 :

None

Extreme Points of

\frac{x ^{3}}{3} + \frac{x ^{2}}{2} - 6 x + 8 :

Maximum

(- 3, \frac{43}{2}),

Minimum

(2, \frac{2}{3})

Popular Examples

f(t)=9t^3-18t^2+6t

f (t) = 9 t^{3} - 18 t^{2} + 6 t

f(t)=e^{-2t}+e^{2t}

f (t) = e^{- 2 t} + e^{2 t}

f(x)=(6x+8)+(12x-8)

f (x) = (6 x + 8)^{\circ} + (12 x - 8)^{\circ}

f(x)= 1/(arctanh(x))

f (x) = \frac{1}{arctanh ( x )}

f(x)=(2x)/(x^3)

f (x) = \frac{2 x}{x ^{3}}

Frequently Asked Questions (FAQ)

What is the f(x)=(x^3)/3+(x^2)/2-6x+8 ?
The f(x)=(x^3)/3+(x^2)/2-6x+8 is