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Popular >

y=(x^2+x+4)/(x+1)

Solution

y = \frac{x ^{2} + x + 4}{x + 1}

Solution

Domain : x < - 1 or x > - 1

Range : f (x) \leq - 5 or f (x) \geq 3

Y Intercepts : (0, 4)

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

Extreme Points : Maximum (- 3, - 5), Minimum (1, 3)

+1

Interval Notation

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

Range : (- \infty, - 5] \cup [3, \infty)

Solution steps

Domain of

\frac{x ^{2} + x + 4}{x + 1} : x < - 1 or x > - 1

Range of

\frac{x ^{2} + x + 4}{x + 1} : f (x) \leq - 5 or f (x) \geq 3

Axis interception points of

\frac{x ^{2} + x + 4}{x + 1} :

Y Intercepts

: (0, 4)

Asymptotes of

\frac{x ^{2} + x + 4}{x + 1} :

Vertical

: x = - 1,

Slant

: y = x

Extreme Points of

\frac{x ^{2} + x + 4}{x + 1} :

Maximum

(- 3, - 5),

Minimum

(1, 3)

Popular Examples

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

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

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

y = x^{20}

f (x) = ln (5 x + 7)

f (x) = \frac{6}{5 - x}

Frequently Asked Questions (FAQ)

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