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Popular >

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

Solution

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

Solution

Domain : x < 2 or x > 2

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

Y Intercepts : (0, - 3)

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

Extreme Points : Maximum (0, - 3), Minimum (4, 5)

+1

Interval Notation

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

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

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

Y Intercepts

: (0, - 3)

Asymptotes of

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

Vertical

: x = 2,

Slant

: y = x - 1

Extreme Points of

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

Maximum

(0, - 3),

Minimum

(4, 5)

Popular Examples

f(x)=(x+4)/(x+3)

f (x) = \frac{x + 4}{x + 3}

f(n)=\sqrt[n]{2}

f (x) = ∣ x + 1 ∣ - 1

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

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

f(x)= 1/2 x^2+4

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

Frequently Asked Questions (FAQ)

What is the y=(x^2-3x+6)/(x-2) ?
The y=(x^2-3x+6)/(x-2) is