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Popular >

y=x^3-3/2 x^2-6x+8

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (1.27181 \dots, 0), (- 2.39653 \dots, 0), (2.62471 \dots, 0), Y Intercepts : (0, 8)

Asymptotes : None

Extreme Points : Maximum (- 1, \frac{23}{2}), Minimum (2, - 2)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (1.27181 \dots, 0), (- 2.39653 \dots, 0), (2.62471 \dots, 0),

Y Intercepts

: (0, 8)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 1, \frac{23}{2}),

Minimum

(2, - 2)

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