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Popular Calculus >

f(x)=(4x^3)/(5-2x)

Solution

f (x) = \frac{4 x ^{3}}{5 - 2 x}

Solution

Domain : x < \frac{5}{2} or x > \frac{5}{2}

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

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

Asymptotes : Vertical x = \frac{5}{2}

Extreme Points : Saddle (0, 0), Maximum (\frac{15}{4}, - \frac{675}{8})

+1

Interval Notation

Domain : (- \infty, \frac{5}{2}) \cup (\frac{5}{2}, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{4 x ^{3}}{5 - 2 x} : x < \frac{5}{2} or x > \frac{5}{2}

Range of

\frac{4 x ^{3}}{5 - 2 x} : - \infty < f (x) < \infty

Axis interception points of

\frac{4 x ^{3}}{5 - 2 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{4 x ^{3}}{5 - 2 x} :

Vertical

: x = \frac{5}{2}

Extreme Points of

\frac{4 x ^{3}}{5 - 2 x} :

Saddle

(0, 0),

Maximum

(\frac{15}{4}, - \frac{675}{8})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(4x^3)/(5-2x) ?
The f(x)=(4x^3)/(5-2x) is