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Popular >

f(x)=(-x^2+5x)/(2x^2)

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) < - \frac{1}{2} or f (x) > - \frac{1}{2}

X Intercepts : (5, 0)

Asymptotes : Vertical x = 0, Horizontal y = - \frac{1}{2}

Extreme Points : None

+1

Interval Notation

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

Range : (- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, \infty)

Solution steps

Domain of

\frac{- x ^{2} + 5 x}{2 x ^{2}} : x < 0 or x > 0

Range of

\frac{- x ^{2} + 5 x}{2 x ^{2}} : f (x) < - \frac{1}{2} or f (x) > - \frac{1}{2}

Axis interception points of

\frac{- x ^{2} + 5 x}{2 x ^{2}} :

X Intercepts

: (5, 0)

Asymptotes of

\frac{- x ^{2} + 5 x}{2 x ^{2}} :

Vertical

: x = 0,

Horizontal

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

Extreme Points of

\frac{- x ^{2} + 5 x}{2 x ^{2}} :

None

Popular Examples

f (x) = x^{3} - x - 2

f(x)=3x^2-18x+24

f (x) = 3 x^{2} - 18 x + 24

f (n) = n^{2} + 9 n + 20

f(x)=sqrt(3x-5)-3

f (x) = 3 x - 5 - 3

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

Frequently Asked Questions (FAQ)

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