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Popular >

f(x)=(x+3)/(x^2+1)

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{5}{2} + \frac{3}{2} \leq f (x) \leq \frac{5}{2} + \frac{3}{2}

X Intercepts : (- 3, 0), Y Intercepts : (0, 3)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 3 - 10, - \frac{10 - 3}{2}), Maximum (10 - 3, \frac{10 + 3}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{5}{2} + \frac{3}{2}, \frac{5}{2} + \frac{3}{2}]

Solution steps

Domain of

\frac{x + 3}{x ^{2} + 1} : - \infty < x < \infty

Range of

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

Axis interception points of

\frac{x + 3}{x ^{2} + 1} :

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, 3)

Asymptotes of

\frac{x + 3}{x ^{2} + 1} :

Horizontal

: y = 0

Extreme Points of

\frac{x + 3}{x ^{2} + 1} :

Minimum

(- 3 - 10, - \frac{10 - 3}{2}),

Maximum

(10 - 3, \frac{10 + 3}{2})

Popular Examples

y=x^2cos(x)+4sin(x)

y = x^{2} cos (x) + 4 sin (x)

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

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

f (a) = sin (\frac{a}{2})

y=x^3-2x^2+4x-8

y = x^{3} - 2 x^{2} + 4 x - 8

g (x) = - 5 x^{2}

Frequently Asked Questions (FAQ)

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