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Popular Functions >

y=((x^22x-3))/(((x-2)^2))

Solution

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

Solution

Domain : x < 2 or x > 2

Range : - \infty < f (x) < \infty

Asymptotes : Vertical x = 2, Slant y = 2 x + 8

Extreme Points : Maximum (- 0.67062 \dots, - 0.50520 \dots), Minimum (0.75638 \dots, - 1.38015 \dots), Minimum (5.91423 \dots, 26.80843 \dots)

+1

Interval Notation

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

Range : (- \infty, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} 2 x - 3}{( x - 2 ) ^{2}} : - \infty < f (x) < \infty

Axis interception points of

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

X Intercepts

Y Intercepts

: (0, - \frac{3}{4})

Asymptotes of

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

Vertical

: x = 2,

Slant

: y = 2 x + 8

Extreme Points of

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

Maximum

(- 0.67062 \dots, - 0.50520 \dots),

Minimum

(0.75638 \dots, - 1.38015 \dots),

Minimum

(5.91423 \dots, 26.80843 \dots)

Graph

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Frequently Asked Questions (FAQ)

What is the y=((x^22x-3))/(((x-2)^2)) ?
The y=((x^22x-3))/(((x-2)^2)) is