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Popular >

f(x)= 1/3 x^3-1/2 x^2-6x+6

Solution

f (x) = \frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x + 6

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.97228 \dots, 0), (- 4.04690 \dots, 0), (4.57462 \dots, 0), Y Intercepts : (0, 6)

Asymptotes : None

Extreme Points : Maximum (- 2, \frac{40}{3}), Minimum (3, - \frac{15}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x + 6 : - \infty < x < \infty

Range of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x + 6 : - \infty < f (x) < \infty

Axis interception points of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x + 6 :

X Intercepts

: (0.97228 \dots, 0), (- 4.04690 \dots, 0), (4.57462 \dots, 0),

Y Intercepts

: (0, 6)

Asymptotes of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x + 6 :

None

Extreme Points of

\frac{1}{3} x^{3} - \frac{1}{2} x^{2} - 6 x + 6 :

Maximum

(- 2, \frac{40}{3}),

Minimum

(3, - \frac{15}{2})

Popular Examples

y=e^{2x}cos(6x)

y = e^{2 x} cos (6 x)

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

f (x) = 5 x + 15

f (x) = ln (x) x^{2}

f (x) = x^{5}

Frequently Asked Questions (FAQ)

What is the f(x)= 1/3 x^3-1/2 x^2-6x+6 ?
The f(x)= 1/3 x^3-1/2 x^2-6x+6 is