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Popular Calculus >

y=x(1-x)^6

Solution

y = x (1 - x)^{6}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (1, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{1}{7}, \frac{46656}{823543}), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x (1 - x)^{6} : - \infty < x < \infty

Range of

x (1 - x)^{6} : - \infty < f (x) < \infty

Axis interception points of

x (1 - x)^{6} :

X Intercepts

: (0, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x (1 - x)^{6} :

None

Extreme Points of

x (1 - x)^{6} :

Maximum

(\frac{1}{7}, \frac{46656}{823543}),

Minimum

(1, 0)

Graph

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Frequently Asked Questions (FAQ)

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