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Popular Functions >

f(x)=3(x^2-1)(2x-3)^3

Solution

f (x) = 3 (x^{2} - 1) (2 x - 3)^{3}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 1, 0), (1, 0), (\frac{3}{2}, 0), Y Intercepts : (0, 81)

Asymptotes : None

Extreme Points : Maximum (\frac{3 - 69}{10}, \frac{3 ( 18147 69 - 18711 )}{6250} + 81), Minimum (\frac{3 + 69}{10}, \frac{3 ( - 18711 - 18147 69 )}{6250} + 81), Saddle (\frac{3}{2}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

3 (x^{2} - 1) (2 x - 3)^{3} : - \infty < x < \infty

Range of

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

Axis interception points of

3 (x^{2} - 1) (2 x - 3)^{3} :

X Intercepts

: (- 1, 0), (1, 0), (\frac{3}{2}, 0),

Y Intercepts

: (0, 81)

Asymptotes of

3 (x^{2} - 1) (2 x - 3)^{3} :

None

Extreme Points of

3 (x^{2} - 1) (2 x - 3)^{3} :

Maximum

(\frac{3 - 69}{10}, \frac{3 ( 18147 69 - 18711 )}{6250} + 81),

Minimum

(\frac{3 + 69}{10}, \frac{3 ( - 18711 - 18147 69 )}{6250} + 81),

Saddle

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

Graph

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Frequently Asked Questions (FAQ)

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