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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{27}{2048}

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

Asymptotes : None

Extreme Points : Maximum (\frac{5}{8}, \frac{27}{2048}), Saddle (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{27}{2048}]

Solution steps

Domain of

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

Range of

(1 - 2 x) (x - 1)^{3} : f (x) \leq \frac{27}{2048}

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(\frac{5}{8}, \frac{27}{2048}),

Saddle

(1, 0)

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Frequently Asked Questions (FAQ)

What is the f(x)=(1-2x)(x-1)^3 ?
The f(x)=(1-2x)(x-1)^3 is