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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - 2 + 2 \leq f (x) \leq 2 + 2

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 3

Extreme Points : Maximum (- 1 - 2, 2 + 2), Minimum (- 1 + 2, 2 - 2)

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Horizontal

: y = 3

Extreme Points of

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

Maximum

(- 1 - 2, 2 + 2),

Minimum

(- 1 + 2, 2 - 2)

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y = \frac{4 - x ^{2}}{( 1 + x ^{2} ) ^{3}}

Frequently Asked Questions (FAQ)

What is the f(x)=(3x^2-2x+1)/(x^2+1) ?
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