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Popular >

f(x)=(x^5(x+1))/(x^4)

Solution

f (x) = \frac{x ^{5} ( x + 1 )}{x ^{4}}

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq - \frac{1}{4}

X Intercepts : (- 1, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{1}{2}, - \frac{1}{4})

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : [- \frac{1}{4}, \infty)

Solution steps

Domain of

\frac{x ^{5} ( x + 1 )}{x ^{4}} : x < 0 or x > 0

Range of

\frac{x ^{5} ( x + 1 )}{x ^{4}} : f (x) \geq - \frac{1}{4}

Axis interception points of

\frac{x ^{5} ( x + 1 )}{x ^{4}} :

X Intercepts

: (- 1, 0)

Asymptotes of

\frac{x ^{5} ( x + 1 )}{x ^{4}} :

None

Extreme Points of

\frac{x ^{5} ( x + 1 )}{x ^{4}} :

Minimum

(- \frac{1}{2}, - \frac{1}{4})

Popular Examples

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f (x) = x^{30} - 2 x^{20} + x^{15} + 4

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f (x) = - 3 sin (x + \frac{π}{3})

Frequently Asked Questions (FAQ)

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