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Popular >

f(x)=(|x|+7)/(|x|-2)

Solution

f (x) = \frac{∣ x ∣ + 7}{∣ x ∣ - 2}

Solution

Domain : x < - 2 or - 2 < x < 2 or x > 2

Range : f (x) \leq - \frac{7}{2} or f (x) > 1

Y Intercepts : (0, - \frac{7}{2})

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

Extreme Points : Maximum (0, - \frac{7}{2})

+1

Interval Notation

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

Range : (- \infty, - \frac{7}{2}] \cup (1, \infty)

Solution steps

Domain of

\frac{∣ x ∣ + 7}{∣ x ∣ - 2} : x < - 2 or - 2 < x < 2 or x > 2

Range of

\frac{∣ x ∣ + 7}{∣ x ∣ - 2} : f (x) \leq - \frac{7}{2} or f (x) > 1

Axis interception points of

\frac{∣ x ∣ + 7}{∣ x ∣ - 2} :

Y Intercepts

: (0, - \frac{7}{2})

Asymptotes of

\frac{∣ x ∣ + 7}{∣ x ∣ - 2} :

Vertical

: x = - 2, x = 2,

Horizontal

: y = 1

Extreme Points of

\frac{∣ x ∣ + 7}{∣ x ∣ - 2} :

Maximum

(0, - \frac{7}{2})

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Frequently Asked Questions (FAQ)

What is the f(x)=(|x|+7)/(|x|-2) ?
The f(x)=(|x|+7)/(|x|-2) is