What is the y=(((x-1)(x-2)))/((sqrt(x))) ?

The y=(((x-1)(x-2)))/((sqrt(x))) is

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y=(((x-1)(x-2)))/((sqrt(x)))

y = \frac{( ( x - 1 ) ( x - 2 ) )}{( x )}

Domain : x > 0

Range : f (x) \geq \frac{2 ( 5 - 33 )}{3 3 + 33}

X Intercepts : (1, 0), (2, 0)

Asymptotes : Vertical x = 0

Extreme Points : Minimum (\frac{3 + 33}{6}, \frac{2 ( 5 - 33 )}{3 3 + 33})

Solution steps

Domain of

\frac{( x - 1 ) ( x - 2 )}{x} : x > 0

Range of

\frac{( x - 1 ) ( x - 2 )}{x} : f (x) \geq \frac{2 ( 5 - 33 )}{3 3 + 33}

Axis interception points of

\frac{( x - 1 ) ( x - 2 )}{x} :

X Intercepts

: (1, 0), (2, 0)

Asymptotes of

\frac{( x - 1 ) ( x - 2 )}{x} :

Vertical

: x = 0

Extreme Points of

\frac{( x - 1 ) ( x - 2 )}{x} :

Minimum

(\frac{3 + 33}{6}, \frac{2 ( 5 - 33 )}{3 3 + 33})

y = 16 x - e^{2 x}

y = \frac{x}{3 + 2}

y = 300 x^{2} - x^{3}

f (x) = 2 x^{2} - 45

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