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Popular >

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

Solution

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

Solution

Domain : x < - 2 or x > - 2

Range : f (x) \leq - 23 + 4 or f (x) \geq 23 + 4

X Intercepts : (1, 0), (- 1, 0), Y Intercepts : (0, \frac{1}{2})

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

Extreme Points : Minimum (- 2 - 3, \frac{6 + 4 3}{3}), Maximum (- 2 + 3, \frac{4 3 - 6}{3})

+1

Interval Notation

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

Range : (- \infty, - 23 + 4] \cup [23 + 4, \infty)

Solution steps

Domain of

\frac{1 - x ^{2}}{x + 2} : x < - 2 or x > - 2

Range of

\frac{1 - x ^{2}}{x + 2} : f (x) \leq - 23 + 4 or f (x) \geq 23 + 4

Axis interception points of

\frac{1 - x ^{2}}{x + 2} :

X Intercepts

: (1, 0), (- 1, 0),

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{1 - x ^{2}}{x + 2} :

Vertical

: x = - 2,

Slant

: y = - x + 2

Extreme Points of

\frac{1 - x ^{2}}{x + 2} :

Minimum

(- 2 - 3, \frac{6 + 4 3}{3}),

Maximum

(- 2 + 3, \frac{4 3 - 6}{3})

Popular Examples

f (x) = 3 \cdot sin (x)

y = ln (2 x + 5)

f(x)=sin(cos(x/2))+cos(sin(x/2))

f (x) = sin (cos (\frac{x}{2})) + cos (sin (\frac{x}{2}))

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

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

y = \frac{x ^{2}}{2 - x}

Frequently Asked Questions (FAQ)

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