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Popular >

f(x)=(x^3)/3-(x^2)/2-6x+4

Solution

f (x) = \frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + 4

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.64683 \dots, 0), (- 3.90167 \dots, 0), (4.75484 \dots, 0), Y Intercepts : (0, 4)

Asymptotes : None

Extreme Points : Maximum (- 2, \frac{34}{3}), Minimum (3, - \frac{19}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + 4 : - \infty < x < \infty

Range of

\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + 4 : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + 4 :

X Intercepts

: (0.64683 \dots, 0), (- 3.90167 \dots, 0), (4.75484 \dots, 0),

Y Intercepts

: (0, 4)

Asymptotes of

\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + 4 :

None

Extreme Points of

\frac{x ^{3}}{3} - \frac{x ^{2}}{2} - 6 x + 4 :

Maximum

(- 2, \frac{34}{3}),

Minimum

(3, - \frac{19}{2})

Popular Examples

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

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

f(x)=2x^2+12x-3

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

f (x) = 1 - 4 x - x^{2}

y = x^{2} + 8 x + 17

f (x) = 5 - 3 x^{2}

Frequently Asked Questions (FAQ)

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