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Popular >

f(s)=(10s)/(s^2+16)

Solution

f (s) = \frac{10 s}{s ^{2} + 16}

Solution

Domain : - \infty < s < \infty

Range : - \frac{5}{4} \leq f (s) \leq \frac{5}{4}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 4, - \frac{5}{4}), Maximum (4, \frac{5}{4})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{5}{4}, \frac{5}{4}]

Solution steps

Domain of

\frac{10 s}{s ^{2} + 16} : - \infty < s < \infty

Range of

\frac{10 s}{s ^{2} + 16} : - \frac{5}{4} \leq f (s) \leq \frac{5}{4}

Axis interception points of

\frac{10 s}{s ^{2} + 16} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{10 s}{s ^{2} + 16} :

Horizontal

: y = 0

Extreme Points of

\frac{10 s}{s ^{2} + 16} :

Minimum

(- 4, - \frac{5}{4}),

Maximum

(4, \frac{5}{4})

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Frequently Asked Questions (FAQ)

What is the f(s)=(10s)/(s^2+16) ?
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