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Popular >

f(x)=(x+3)/(x^2+4)

Solution

f (x) = \frac{x + 3}{x ^{2} + 4}

Solution

Domain : - \infty < x < \infty

Range : \frac{- 13 + 3}{8} \leq f (x) \leq \frac{13 + 3}{8}

X Intercepts : (- 3, 0), Y Intercepts : (0, \frac{3}{4})

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 3 - 13, - \frac{13 - 3}{8}), Maximum (13 - 3, \frac{13 + 3}{8})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{- 13 + 3}{8}, \frac{13 + 3}{8}]

Solution steps

Domain of

\frac{x + 3}{x ^{2} + 4} : - \infty < x < \infty

Range of

\frac{x + 3}{x ^{2} + 4} : \frac{- 13 + 3}{8} \leq f (x) \leq \frac{13 + 3}{8}

Axis interception points of

\frac{x + 3}{x ^{2} + 4} :

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, \frac{3}{4})

Asymptotes of

\frac{x + 3}{x ^{2} + 4} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 3}{x ^{2} + 4} :

Minimum

(- 3 - 13, - \frac{13 - 3}{8}),

Maximum

(13 - 3, \frac{13 + 3}{8})

Popular Examples

f (x) = x^{2} - 3 x + 12

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r (x) = 3 sin (x)

y = 49 - x^{2}

Frequently Asked Questions (FAQ)

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