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Popular >

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

Solution

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

Solution

Domain : x < 2 or x > 2

Range : f (x) > - 3

X Intercepts : (- 1, 0), Y Intercepts : (0, - 1)

Asymptotes : Slant y = x + 1

Extreme Points : None

+1

Interval Notation

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

Range : (- 3, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2} - x - 2}{∣ x - 2 ∣} : f (x) > - 3

Axis interception points of

\frac{x ^{2} - x - 2}{∣ x - 2 ∣} :

X Intercepts

: (- 1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

\frac{x ^{2} - x - 2}{∣ x - 2 ∣} :

Slant

: y = x + 1

Extreme Points of

\frac{x ^{2} - x - 2}{∣ x - 2 ∣} :

None

Popular Examples

f (x) = 6 x^{2} + 4 x - 5

g (x) = 4 - x

y = 12 x^{2} - 60 x + 90

y = 10 x^{5} - 2 x^{3}

y = - 2 (x - 1) (x + 4)

Frequently Asked Questions (FAQ)

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