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Popular >

y=(x^2-3x+6)/(x-1)

Solution

y = \frac{x ^{2} - 3 x + 6}{x - 1}

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq - 5 or f (x) \geq 3

Y Intercepts : (0, - 6)

Asymptotes : Vertical x = 1, Slant y = x - 2

Extreme Points : Maximum (- 1, - 5), Minimum (3, 3)

+1

Interval Notation

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

Range : (- \infty, - 5] \cup [3, \infty)

Solution steps

Domain of

\frac{x ^{2} - 3 x + 6}{x - 1} : x < 1 or x > 1

Range of

\frac{x ^{2} - 3 x + 6}{x - 1} : f (x) \leq - 5 or f (x) \geq 3

Axis interception points of

\frac{x ^{2} - 3 x + 6}{x - 1} :

Y Intercepts

: (0, - 6)

Asymptotes of

\frac{x ^{2} - 3 x + 6}{x - 1} :

Vertical

: x = 1,

Slant

: y = x - 2

Extreme Points of

\frac{x ^{2} - 3 x + 6}{x - 1} :

Maximum

(- 1, - 5),

Minimum

(3, 3)

Graph

Popular Examples

y=2x^3+x^2-7x-6

y = 2 x^{3} + x^{2} - 7 x - 6

f(x)=log_{3}(x-1)-2

f (x) = lo g_{3} (x - 1) - 2

f(x)=(x^5+1)/(x^2-1)

f (x) = \frac{x ^{5} + 1}{x ^{2} - 1}

f(x)=-1/2 (4^{2(x+1)})-3

f (x) = - \frac{1}{2} (4^{2 (x + 1)}) - 3

f(x)=(6x^2-24)/(2x^2-4x)

f (x) = \frac{6 x ^{2} - 24}{2 x ^{2} - 4 x}

Frequently Asked Questions (FAQ)

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