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Popular >

y=(2x^2-3x+4)/x

Solution

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

Solution

Domain : x < 0 or x > 0

Range : f (x) \leq - 42 - 3 or f (x) \geq 42 - 3

Intercepts : None

Asymptotes : Vertical x = 0, Slant y = 2 x - 3

Extreme Points : Maximum (- 2, - \frac{8 + 3 2}{2}), Minimum (2, \frac{8 - 3 2}{2})

+1

Interval Notation

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

Range : (- \infty, - 42 - 3] \cup [42 - 3, \infty)

Solution steps

Domain of

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

Range of

\frac{2 x ^{2} - 3 x + 4}{x} : f (x) \leq - 42 - 3 or f (x) \geq 42 - 3

Axis interception points of

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

None

Asymptotes of

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

Vertical

: x = 0,

Slant

: y = 2 x - 3

Extreme Points of

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

Maximum

(- 2, - \frac{8 + 3 2}{2}),

Minimum

(2, \frac{8 - 3 2}{2})

Popular Examples

f(x)= 1/(x^2-10x+25)

f (x) = \frac{1}{x ^{2} - 10 x + 25}

f(x)=sqrt(10-3x)

f (x) = 10 - 3 x

f(x)=sqrt((x+3)^2)

f (x) = (x + 3)^{2}

f(x)= 1/(sqrt(x+4))

f (x) = \frac{1}{x + 4}

f (a) = 8 a^{3}

Frequently Asked Questions (FAQ)

What is the y=(2x^2-3x+4)/x ?
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