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Popular >

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

Solution

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

Solution

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

Range : f (x) < - 2 or - 2 < f (x) < 1 or f (x) > 1

X Intercepts : (- 1, 0), Y Intercepts : (0, - \frac{1}{2})

Asymptotes : Vertical x = 2, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - \frac{1}{2})

Asymptotes of

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

Vertical

: x = 2,

Horizontal

: y = 1

Extreme Points of

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

None

Popular Examples

y = \frac{x ^{4}}{16}

f(x)=(\sqrt[3]{x})/5-3/(\sqrt[3]{x)}

f(x)=((sin(x)))/x

f (x) = \frac{( sin ( x ) )}{x}

f (x) = x^{2} + 9 x - 8

f (x) = x^{2} + 9 x - 5

Frequently Asked Questions (FAQ)

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