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Popular >

f(x)=(x^2+x+2)/(x+1)

Solution

f (x) = \frac{x ^{2} + x + 2}{x + 1}

Solution

Domain : x < - 1 or x > - 1

Range : f (x) \leq - 22 - 1 or f (x) \geq 22 - 1

Y Intercepts : (0, 2)

Asymptotes : Vertical x = - 1, Slant y = x

Extreme Points : Maximum (- 1 - 2, - \frac{4 + 2}{2}), Minimum (- 1 + 2, \frac{4 - 2}{2})

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, \infty)

Range : (- \infty, - 22 - 1] \cup [22 - 1, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} + x + 2}{x + 1} : f (x) \leq - 22 - 1 or f (x) \geq 22 - 1

Axis interception points of

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

Y Intercepts

: (0, 2)

Asymptotes of

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

Vertical

: x = - 1,

Slant

: y = x

Extreme Points of

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

Maximum

(- 1 - 2, - \frac{4 + 2}{2}),

Minimum

(- 1 + 2, \frac{4 - 2}{2})

Popular Examples

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f (x) = \frac{1}{2 ^{x} + 3}

f(x)=(sech(x))/(cosh(x))

f (x) = \frac{sech ( x )}{cosh ( x )}

f(x)= 1/2 x^4-4x^2+5

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f(x)=\sqrt[30]{16-x^8}

y = x^{3} + x^{2} - 2 x - 2

Frequently Asked Questions (FAQ)

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