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Popular >

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

Solution

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

Solution

Domain : x < 2 or x > 2

Range : f (x) \leq - 2 or f (x) \geq 6

Y Intercepts : (0, - 2)

Asymptotes : Vertical x = 2, Slant y = x

Extreme Points : Maximum (0, - 2), Minimum (4, 6)

+1

Interval Notation

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

Range : (- \infty, - 2] \cup [6, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} - 2 x + 4}{x - 2} : f (x) \leq - 2 or f (x) \geq 6

Axis interception points of

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

Y Intercepts

: (0, - 2)

Asymptotes of

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

Vertical

: x = 2,

Slant

: y = x

Extreme Points of

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

Maximum

(0, - 2),

Minimum

(4, 6)

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-2x+4)/(x-2) ?
The f(x)=(x^2-2x+4)/(x-2) is