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Popular >

f(x)=(x^2)/(x^2-x-20)

Solution

f (x) = \frac{x ^{2}}{x ^{2} - x - 20}

Solution

Domain : x < - 4 or - 4 < x < 5 or x > 5

Range : f (x) \leq 0 or f (x) \geq \frac{80}{81}

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

Asymptotes : Vertical x = - 4, x = 5, Horizontal y = 1

Extreme Points : Minimum (- 40, \frac{80}{81}), Maximum (0, 0)

+1

Interval Notation

Domain : (- \infty, - 4) \cup (- 4, 5) \cup (5, \infty)

Range : (- \infty, 0] \cup [\frac{80}{81}, \infty)

Solution steps

Domain of

\frac{x ^{2}}{x ^{2} - x - 20} : x < - 4 or - 4 < x < 5 or x > 5

Range of

\frac{x ^{2}}{x ^{2} - x - 20} : f (x) \leq 0 or f (x) \geq \frac{80}{81}

Axis interception points of

\frac{x ^{2}}{x ^{2} - x - 20} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2}}{x ^{2} - x - 20} :

Vertical

: x = - 4, x = 5,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2}}{x ^{2} - x - 20} :

Minimum

(- 40, \frac{80}{81}),

Maximum

(0, 0)

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Frequently Asked Questions (FAQ)

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