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Popular >

f(s)=sqrt((s^2+1)/(s^2+4))

Solution

f (s) = \frac{s ^{2} + 1}{s ^{2} + 4}

Solution

Domain : - \infty < s < \infty

Range : \frac{1}{2} \leq f (s) < 1

Y Intercepts : (0, \frac{1}{2})

Asymptotes : Horizontal y = 1

Extreme Points : Minimum (0, \frac{1}{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [\frac{1}{2}, 1)

Solution steps

Domain of

\frac{s ^{2} + 1}{s ^{2} + 4} : - \infty < s < \infty

Range of

\frac{s ^{2} + 1}{s ^{2} + 4} : \frac{1}{2} \leq f (s) < 1

Axis interception points of

\frac{s ^{2} + 1}{s ^{2} + 4} :

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{s ^{2} + 1}{s ^{2} + 4} :

Horizontal

: y = 1

Extreme Points of

\frac{s ^{2} + 1}{s ^{2} + 4} :

Minimum

(0, \frac{1}{2})

Popular Examples

u=(x^2+4x+4)e^{-2x}

u = (x^{2} + 4 x + 4) e^{- 2 x}

y=0.6sin(pi/6 x+1)+0.8

y = 0.6 sin (\frac{π}{6} x + 1) + 0.8

y = (x^{3} - x)^{3}

h(x)=-4sqrt(2x-8)

h (x) = - 4 2 x - 8

f(x)=(ln(4x))^2

f (x) = (ln (4 x))^{2}

Frequently Asked Questions (FAQ)

What is the f(s)=sqrt((s^2+1)/(s^2+4)) ?
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