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Popular >

y=(x^2-4)/(x^2-5x+6)

Solution

y = \frac{x ^{2} - 4}{x ^{2} - 5 x + 6}

Solution

Domain : x < 2 or 2 < x < 3 or x > 3

Range : f (x) < - 4 or - 4 < f (x) < 1 or f (x) > 1

X Intercepts : (- 2, 0), Y Intercepts : (0, - \frac{2}{3})

Asymptotes : Vertical x = 3, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 2) \cup (2, 3) \cup (3, \infty)

Range : (- \infty, - 4) \cup (- 4, 1) \cup (1, \infty)

Solution steps

Domain of

\frac{x ^{2} - 4}{x ^{2} - 5 x + 6} : x < 2 or 2 < x < 3 or x > 3

Range of

\frac{x ^{2} - 4}{x ^{2} - 5 x + 6} : f (x) < - 4 or - 4 < f (x) < 1 or f (x) > 1

Axis interception points of

\frac{x ^{2} - 4}{x ^{2} - 5 x + 6} :

X Intercepts

: (- 2, 0),

Y Intercepts

: (0, - \frac{2}{3})

Asymptotes of

\frac{x ^{2} - 4}{x ^{2} - 5 x + 6} :

Vertical

: x = 3,

Horizontal

: y = 1

Extreme Points of

\frac{x ^{2} - 4}{x ^{2} - 5 x + 6} :

None

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Frequently Asked Questions (FAQ)

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The y=(x^2-4)/(x^2-5x+6) is