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Popular >

y=(-(x^2))/(2+3x)

Solution

y = \frac{- ( x ^{2} )}{2 + 3 x}

Solution

Domain : x < - \frac{2}{3} or x > - \frac{2}{3}

Range : f (x) \leq 0 or f (x) \geq \frac{8}{9}

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

Asymptotes : Vertical x = - \frac{2}{3}, Slant y = - \frac{1}{3} x + \frac{2}{9}

Extreme Points : Minimum (- \frac{4}{3}, \frac{8}{9}), Maximum (0, 0)

+1

Interval Notation

Domain : (- \infty, - \frac{2}{3}) \cup (- \frac{2}{3}, \infty)

Range : (- \infty, 0] \cup [\frac{8}{9}, \infty)

Solution steps

Domain of

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

Range of

\frac{- x ^{2}}{2 + 3 x} : f (x) \leq 0 or f (x) \geq \frac{8}{9}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - \frac{2}{3},

Slant

: y = - \frac{1}{3} x + \frac{2}{9}

Extreme Points of

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

Minimum

(- \frac{4}{3}, \frac{8}{9}),

Maximum

(0, 0)

Popular Examples

f (p) = 2 + p

p(x)=5x^3+3x^2+2x+4

p (x) = 5 x^{3} + 3 x^{2} + 2 x + 4

f(y)=(sec(y))/((sec(y)-1))

f (y) = \frac{sec ( y )}{( sec ( y ) - 1 )}

f (x) = 2 + 4.5 x

y = 2 h (x + 3)

Frequently Asked Questions (FAQ)

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