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Popular >

f(w)= 7/(w^2-2w-3)

Solution

f (w) = \frac{7}{w ^{2} - 2 w - 3}

Solution

Domain : w < - 1 or - 1 < w < 3 or w > 3

Range : f (w) \leq - \frac{7}{4} or f (w) > 0

Y Intercepts : (0, - \frac{7}{3})

Asymptotes : Vertical w = - 1, w = 3, Horizontal y = 0

Extreme Points : Maximum (1, - \frac{7}{4})

+1

Interval Notation

Domain : (- \infty, - 1) \cup (- 1, 3) \cup (3, \infty)

Range : (- \infty, - \frac{7}{4}] \cup (0, \infty)

Solution steps

Domain of

\frac{7}{w ^{2} - 2 w - 3} : w < - 1 or - 1 < w < 3 or w > 3

Range of

\frac{7}{w ^{2} - 2 w - 3} : f (w) \leq - \frac{7}{4} or f (w) > 0

Axis interception points of

\frac{7}{w ^{2} - 2 w - 3} :

Y Intercepts

: (0, - \frac{7}{3})

Asymptotes of

\frac{7}{w ^{2} - 2 w - 3} :

Vertical

: w = - 1, w = 3,

Horizontal

: y = 0

Extreme Points of

\frac{7}{w ^{2} - 2 w - 3} :

Maximum

(1, - \frac{7}{4})

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Frequently Asked Questions (FAQ)

What is the f(w)= 7/(w^2-2w-3) ?
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