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Popular >

f(x)=(x^3-5x^2)/(2x^2-50)

Solution

f (x) = \frac{x ^{3} - 5 x ^{2}}{2 x ^{2} - 50}

Solution

Domain : x < - 5 or - 5 < x < 5 or x > 5

Range : f (x) \leq - 10 or f (x) \geq 0

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

Asymptotes : Vertical x = - 5, Slant y = \frac{1}{2} x - \frac{5}{2}

Extreme Points : Maximum (- 10, - 10), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 5) \cup (- 5, 5) \cup (5, \infty)

Range : (- \infty, - 10] \cup [0, \infty)

Solution steps

Domain of

\frac{x ^{3} - 5 x ^{2}}{2 x ^{2} - 50} : x < - 5 or - 5 < x < 5 or x > 5

Range of

\frac{x ^{3} - 5 x ^{2}}{2 x ^{2} - 50} : f (x) \leq - 10 or f (x) \geq 0

Axis interception points of

\frac{x ^{3} - 5 x ^{2}}{2 x ^{2} - 50} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{3} - 5 x ^{2}}{2 x ^{2} - 50} :

Vertical

: x = - 5,

Slant

: y = \frac{1}{2} x - \frac{5}{2}

Extreme Points of

\frac{x ^{3} - 5 x ^{2}}{2 x ^{2} - 50} :

Maximum

(- 10, - 10),

Minimum

(0, 0)

Popular Examples

f (x) = x^{2} - 10 x - 2

f (x) = x^{2} - 10 x - 7

f (x) = x^{2} - 10 x - 8

f (x) = x^{2} - 10 x - 6

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

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

Frequently Asked Questions (FAQ)

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