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Popular Functions >

f(x)=(4x^3+3x^2)/x

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \geq - \frac{9}{16}

X Intercepts : (- \frac{3}{4}, 0)

Asymptotes : None

Extreme Points : Minimum (- \frac{3}{8}, - \frac{9}{16})

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Interval Notation

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

Range : [- \frac{9}{16}, \infty)

Solution steps

Domain of

\frac{4 x ^{3} + 3 x ^{2}}{x} : x < 0 or x > 0

Range of

\frac{4 x ^{3} + 3 x ^{2}}{x} : f (x) \geq - \frac{9}{16}

Axis interception points of

\frac{4 x ^{3} + 3 x ^{2}}{x} :

X Intercepts

: (- \frac{3}{4}, 0)

Asymptotes of

\frac{4 x ^{3} + 3 x ^{2}}{x} :

None

Extreme Points of

\frac{4 x ^{3} + 3 x ^{2}}{x} :

Minimum

(- \frac{3}{8}, - \frac{9}{16})

Graph

Popular Examples

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f(x)=(x^2+2x)/1+(3x-x^2)/(2x)

Frequently Asked Questions (FAQ)

What is the f(x)=(4x^3+3x^2)/x ?
The f(x)=(4x^3+3x^2)/x is