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Popular >

y=-x(x-2)^4(x+3)

Solution

y = - x (x - 2)^{4} (x + 3)

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq - \frac{- 809092000 - 51346400 265}{2985984}

X Intercepts : (0, 0), (2, 0), (- 3, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{- 11 - 265}{12}, - \frac{- 809092000 - 51346400 265}{2985984}), Minimum (\frac{- 11 + 265}{12}, - \frac{51346400 265 - 809092000}{2985984}), Maximum (2, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, - \frac{- 809092000 - 51346400 265}{2985984}]

Solution steps

Domain of

- x (x - 2)^{4} (x + 3) : - \infty < x < \infty

Range of

- x (x - 2)^{4} (x + 3) : f (x) \leq - \frac{- 809092000 - 51346400 265}{2985984}

Axis interception points of

- x (x - 2)^{4} (x + 3) :

X Intercepts

: (0, 0), (2, 0), (- 3, 0),

Y Intercepts

: (0, 0)

Asymptotes of

- x (x - 2)^{4} (x + 3) :

None

Extreme Points of

- x (x - 2)^{4} (x + 3) :

Maximum

(\frac{- 11 - 265}{12}, - \frac{- 809092000 - 51346400 265}{2985984}),

Minimum

(\frac{- 11 + 265}{12}, - \frac{51346400 265 - 809092000}{2985984}),

Maximum

(2, 0)

Popular Examples

f (n) = (- 2)^{n}

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f(x)=ln(3x^2+1)

f (x) = ln (3 x^{2} + 1)

Frequently Asked Questions (FAQ)

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