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Popular >

f(x)=12x^3-65x^2+74x-24

Solution

f (x) = 12 x^{3} - 65 x^{2} + 74 x - 24

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (4, 0), (\frac{2}{3}, 0), (\frac{3}{4}, 0), Y Intercepts : (0, - 24)

Asymptotes : None

Extreme Points : Maximum (\frac{65 - 1561}{36}, \frac{1561 1561 - 14885}{1944} - 24), Minimum (\frac{65 + 1561}{36}, \frac{- 14885 - 1561 1561}{1944} - 24)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

12 x^{3} - 65 x^{2} + 74 x - 24 : - \infty < x < \infty

Range of

12 x^{3} - 65 x^{2} + 74 x - 24 : - \infty < f (x) < \infty

Axis interception points of

12 x^{3} - 65 x^{2} + 74 x - 24 :

X Intercepts

: (4, 0), (\frac{2}{3}, 0), (\frac{3}{4}, 0),

Y Intercepts

: (0, - 24)

Asymptotes of

12 x^{3} - 65 x^{2} + 74 x - 24 :

None

Extreme Points of

12 x^{3} - 65 x^{2} + 74 x - 24 :

Maximum

(\frac{65 - 1561}{36}, \frac{1561 1561 - 14885}{1944} - 24),

Minimum

(\frac{65 + 1561}{36}, \frac{- 14885 - 1561 1561}{1944} - 24)

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