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Popular >

f(x)=x^2(x-1)^4(x+5)

Solution

f (x) = x^{2} (x - 1)^{4} (x + 5)

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0, 0), (1, 0), (- 5, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (\frac{- 27 - 1009}{14}, \frac{271922804864 + 8560323712 1009}{52706752}), Minimum (0, 0), Maximum (\frac{- 27 + 1009}{14}, \frac{271922804864 - 8560323712 1009}{52706752}), Minimum (1, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

x^{2} (x - 1)^{4} (x + 5) : - \infty < x < \infty

Range of

x^{2} (x - 1)^{4} (x + 5) : - \infty < f (x) < \infty

Axis interception points of

x^{2} (x - 1)^{4} (x + 5) :

X Intercepts

: (0, 0), (1, 0), (- 5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} (x - 1)^{4} (x + 5) :

None

Extreme Points of

x^{2} (x - 1)^{4} (x + 5) :

Maximum

(\frac{- 27 - 1009}{14}, \frac{271922804864 + 8560323712 1009}{52706752}),

Minimum

(0, 0),

Maximum

(\frac{- 27 + 1009}{14}, \frac{271922804864 - 8560323712 1009}{52706752}),

Minimum

(1, 0)

Popular Examples

f(x)=(2x-3)/(x-4)

f (x) = \frac{2 x - 3}{x - 4}

f(x)=(x-2)/(x^2-x-6)

f (x) = \frac{x - 2}{x ^{2} - x - 6}

y = 4 x^{2} - 8 x + 4

y = x^{0.5}

r(x)=(x^2+4x-5)/(x^2+x-2)

r (x) = \frac{x ^{2} + 4 x - 5}{x ^{2} + x - 2}

Frequently Asked Questions (FAQ)

What is the f(x)=x^2(x-1)^4(x+5) ?
The f(x)=x^2(x-1)^4(x+5) is