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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : \frac{- 11 - 3}{4} \leq f (x) \leq \frac{11 - 3}{4}

X Intercepts : (3, 0), Y Intercepts : (0, - \frac{3}{2})

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (3 - 11, - \frac{11 + 3}{4}), Maximum (3 + 11, \frac{11 - 3}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{- 11 - 3}{4}, \frac{11 - 3}{4}]

Solution steps

Domain of

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

Range of

\frac{x - 3}{x ^{2} + 2} : \frac{- 11 - 3}{4} \leq f (x) \leq \frac{11 - 3}{4}

Axis interception points of

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

X Intercepts

: (3, 0),

Y Intercepts

: (0, - \frac{3}{2})

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(3 - 11, - \frac{11 + 3}{4}),

Maximum

(3 + 11, \frac{11 - 3}{4})

Popular Examples

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y = x^{3} + 2 x^{2} + 2 x + 1

y= 3/(x^2)+(sqrt(x))/x-2/(\sqrt[3]{x)}

y = - 4 sin (2 π x)

Frequently Asked Questions (FAQ)

What is the f(x)=((x-3))/(x^2+2) ?
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