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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

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

Y Intercepts

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

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

(1, 1)

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Frequently Asked Questions (FAQ)

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