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Popular >

f(x)=(x^4)/(x+2)

Solution

f (x) = \frac{x ^{4}}{x + 2}

Solution

Domain : x < - 2 or x > - 2

Range : f (x) \leq - \frac{2048}{27} or f (x) \geq 0

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

Asymptotes : Vertical x = - 2

Extreme Points : Maximum (- \frac{8}{3}, - \frac{2048}{27}), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 2) \cup (- 2, \infty)

Range : (- \infty, - \frac{2048}{27}] \cup [0, \infty)

Solution steps

Domain of

\frac{x ^{4}}{x + 2} : x < - 2 or x > - 2

Range of

\frac{x ^{4}}{x + 2} : f (x) \leq - \frac{2048}{27} or f (x) \geq 0

Axis interception points of

\frac{x ^{4}}{x + 2} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{4}}{x + 2} :

Vertical

: x = - 2

Extreme Points of

\frac{x ^{4}}{x + 2} :

Maximum

(- \frac{8}{3}, - \frac{2048}{27}),

Minimum

(0, 0)

Popular Examples

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f(x)=-sqrt(16-(x+3)^2)-5

f (x) = - 16 - (x + 3)^{2} - 5

g(x)=log_{10}(3x-2)

g (x) = lo g_{10} (3 x - 2)

Frequently Asked Questions (FAQ)

What is the f(x)=(x^4)/(x+2) ?
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