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

The y=(2(x-2)^2(x+3))/((x-1)^2(x-2)) is

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

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

Domain : x < 1 or 1 < x < 2 or x > 2

X Intercepts : (- 3, 0), Y Intercepts : (0, - 12)

Asymptotes : Vertical x = 1, Horizontal y = 2

Extreme Points : Maximum (\frac{11}{3}, \frac{25}{8})

Interval Notation

Domain : (- \infty, 1) \cup (1, 2) \cup (2, \infty)

Solution steps

Domain of

\frac{2 ( x - 2 ) ^{2} ( x + 3 )}{( x - 1 ) ^{2} ( x - 2 )} : x < 1 or 1 < x < 2 or x > 2

Axis interception points of

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

X Intercepts

: (- 3, 0),

Y Intercepts

: (0, - 12)

Asymptotes of

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

Vertical

: x = 1,

Horizontal

: y = 2

Extreme Points of

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

Maximum

(\frac{11}{3}, \frac{25}{8})

f (x) = 2 x^{4} + 9 x^{3} - 5 x^{2} + 57 x - 45

f (x) = 7 x + 5

f (x) = 1 - x^{2} - 4

y = - \frac{1}{7} x + 1

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

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