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Popular >

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

Solution

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

Solution

Domain : x < - 2 or x > - 2

Range : f (x) \leq - 210 - 8 or f (x) \geq 210 - 8

X Intercepts : (\frac{3}{2}, 0), (- \frac{3}{2}, 0), Y Intercepts : (0, - \frac{3}{2})

Asymptotes : Vertical x = - 2, Slant y = 2 x - 4

Extreme Points : Maximum (- \frac{4 + 10}{2}, - \frac{10 2 + 8 5}{5}), Minimum (\frac{- 4 + 10}{2}, \frac{10 2 - 8 5}{5})

+1

Interval Notation

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

Range : (- \infty, - 210 - 8] \cup [210 - 8, \infty)

Solution steps

Domain of

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

Range of

\frac{2 x ^{2} - 3}{x + 2} : f (x) \leq - 210 - 8 or f (x) \geq 210 - 8

Axis interception points of

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

X Intercepts

: (\frac{3}{2}, 0), (- \frac{3}{2}, 0),

Y Intercepts

: (0, - \frac{3}{2})

Asymptotes of

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

Vertical

: x = - 2,

Slant

: y = 2 x - 4

Extreme Points of

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

Maximum

(- \frac{4 + 10}{2}, - \frac{10 2 + 8 5}{5}),

Minimum

(\frac{- 4 + 10}{2}, \frac{10 2 - 8 5}{5})

Popular Examples

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Frequently Asked Questions (FAQ)

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