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Popular >

f(x)=x^3(2x-1)^5

Solution

f (x) = x^{3} (2 x - 1)^{5}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{84375}{134217728}

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

Asymptotes : None

Extreme Points : Saddle (0, 0), Minimum (\frac{3}{16}, - \frac{84375}{134217728}), Saddle (\frac{1}{2}, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{84375}{134217728}, \infty)

Solution steps

Domain of

x^{3} (2 x - 1)^{5} : - \infty < x < \infty

Range of

x^{3} (2 x - 1)^{5} : f (x) \geq - \frac{84375}{134217728}

Axis interception points of

x^{3} (2 x - 1)^{5} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} (2 x - 1)^{5} :

None

Extreme Points of

x^{3} (2 x - 1)^{5} :

Saddle

(0, 0),

Minimum

(\frac{3}{16}, - \frac{84375}{134217728}),

Saddle

(\frac{1}{2}, 0)

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Frequently Asked Questions (FAQ)

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