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Popular >

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

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 23 - 1 or f (x) \geq 23 - 1

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = x - 1

Extreme Points : Maximum (- 3, - 23 - 1), Minimum (3, 23 - 1)

+1

Interval Notation

Domain : (- \infty, 0) \cup (0, \infty)

Range : (- \infty, - 23 - 1] \cup [23 - 1, \infty)

Solution steps

Domain of

\frac{x ^{2} - x + 3}{x} : x < 0 or x > 0

Range of

\frac{x ^{2} - x + 3}{x} : f (x) \leq - 23 - 1 or f (x) \geq 23 - 1

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = x - 1

Extreme Points of

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

Maximum

(- 3, - 23 - 1),

Minimum

(3, 23 - 1)

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Frequently Asked Questions (FAQ)

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