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Popular >

f(t)=(2t)/(4+t^2)

Solution

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

Solution

Domain : - \infty < t < \infty

Range : - \frac{1}{2} \leq f (t) \leq \frac{1}{2}

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{2}, \frac{1}{2}]

Solution steps

Domain of

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

Range of

\frac{2 t}{4 + t ^{2}} : - \frac{1}{2} \leq f (t) \leq \frac{1}{2}

Axis interception points of

\frac{2 t}{4 + t ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{2 t}{4 + t ^{2}} :

Horizontal

: y = 0

Extreme Points of

\frac{2 t}{4 + t ^{2}} :

Minimum

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

Maximum

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

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Frequently Asked Questions (FAQ)

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