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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{5}{2} - \frac{1}{2} \leq f (x) \leq \frac{5}{2} - \frac{1}{2}

X Intercepts : (\frac{1}{3}, 0), Y Intercepts : (0, - 1)

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{- 1 + 10}{3}, - \frac{10 + 1}{2}), Maximum (\frac{1 + 10}{3}, \frac{10 - 1}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{5}{2} - \frac{1}{2}, \frac{5}{2} - \frac{1}{2}]

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{1}{3}, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

(- \frac{- 1 + 10}{3}, - \frac{10 + 1}{2}),

Maximum

(\frac{1 + 10}{3}, \frac{10 - 1}{2})

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Frequently Asked Questions (FAQ)

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