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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{1}{2} \leq f (x) \leq \frac{1}{2}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 2, - \frac{1}{2}), Maximum (0, \frac{1}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2}, \frac{1}{2}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

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

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

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

Popular Examples

f(x)=x^2+10x+12

f (x) = x^{2} + 10 x + 12

f(x)=sqrt(x+3)+sqrt(9-x)

f (x) = x + 3 + 9 - x

y = x ln (x)

y = \frac{1 + ln ( x )}{x}

f (x) = 2 x^{2} - 3 x - 9

Frequently Asked Questions (FAQ)

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