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Popular >

f(x)=((2x^2-3x+1))/(4x)

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - \frac{1}{2} - \frac{3}{4} or f (x) \geq \frac{1}{2} - \frac{3}{4}

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

Asymptotes : Vertical x = 0, Slant y = \frac{1}{2} x - \frac{3}{4}

Extreme Points : Maximum (- \frac{1}{2}, - \frac{3 + 2 2}{4}), Minimum (\frac{1}{2}, \frac{- 3 + 2 2}{4})

+1

Interval Notation

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

Range : (- \infty, - \frac{1}{2} - \frac{3}{4}] \cup [\frac{1}{2} - \frac{3}{4}, \infty)

Solution steps

Domain of

\frac{2 x ^{2} - 3 x + 1}{4 x} : x < 0 or x > 0

Range of

\frac{2 x ^{2} - 3 x + 1}{4 x} : f (x) \leq - \frac{1}{2} - \frac{3}{4} or f (x) \geq \frac{1}{2} - \frac{3}{4}

Axis interception points of

\frac{2 x ^{2} - 3 x + 1}{4 x} :

X Intercepts

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

Asymptotes of

\frac{2 x ^{2} - 3 x + 1}{4 x} :

Vertical

: x = 0,

Slant

: y = \frac{1}{2} x - \frac{3}{4}

Extreme Points of

\frac{2 x ^{2} - 3 x + 1}{4 x} :

Maximum

(- \frac{1}{2}, - \frac{3 + 2 2}{4}),

Minimum

(\frac{1}{2}, \frac{- 3 + 2 2}{4})

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Frequently Asked Questions (FAQ)

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