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Popular >

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

Solution

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

Solution

Domain : x < - 3 or - 3 < x < 2 or x > 2

Range : f (x) \leq 0 or f (x) \geq \frac{48}{25}

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

Asymptotes : Vertical x = - 3, x = 2, Horizontal y = 2

Extreme Points : Maximum (0, 0), Minimum (12, \frac{48}{25})

+1

Interval Notation

Domain : (- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Range : (- \infty, 0] \cup [\frac{48}{25}, \infty)

Solution steps

Domain of

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

Range of

\frac{2 x ^{2}}{( x - 2 ) ( x + 3 )} : f (x) \leq 0 or f (x) \geq \frac{48}{25}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Vertical

: x = - 3, x = 2,

Horizontal

: y = 2

Extreme Points of

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

Maximum

(0, 0),

Minimum

(12, \frac{48}{25})

Popular Examples

f(x)=x^4-2x^3-35x^2+36x+180

f (x) = x^{4} - 2 x^{3} - 35 x^{2} + 36 x + 180

f (w) = w^{2} + 3 w - 11

f(x)=cos(1/2 x)

f (x) = cos (\frac{1}{2} x)

y = \frac{- 2}{3 x - 15}

y=(x^2-3x+6)/(x-1)

y = \frac{x ^{2} - 3 x + 6}{x - 1}

Frequently Asked Questions (FAQ)

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