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Popular >

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

Solution

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

Solution

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

Range : f (x) \leq - 122 - 17 or f (x) \geq 122 - 17

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

Asymptotes : Vertical x = 1, x = 2, Horizontal y = 1

Extreme Points : Minimum (- 2, - 17 + 122), Maximum (2, - 17 - 122)

+1

Interval Notation

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

Range : (- \infty, - 122 - 17] \cup [122 - 17, \infty)

Solution steps

Domain of

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

Range of

\frac{( x + 1 ) ( x + 2 )}{( x - 1 ) ( x - 2 )} : f (x) \leq - 122 - 17 or f (x) \geq 122 - 17

Axis interception points of

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

X Intercepts

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

Y Intercepts

: (0, 1)

Asymptotes of

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

Vertical

: x = 1, x = 2,

Horizontal

: y = 1

Extreme Points of

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

Minimum

(- 2, - 17 + 122),

Maximum

(2, - 17 - 122)

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Frequently Asked Questions (FAQ)

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