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Popular >

f(t)=(2t)/(1+t^2)

Solution

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

Solution

Domain : - \infty < t < \infty

Range : - 1 \leq f (t) \leq 1

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 1, - 1), Maximum (1, 1)

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Solution steps

Domain of

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

Range of

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

Axis interception points of

\frac{2 t}{1 + t ^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{2 t}{1 + t ^{2}} :

Horizontal

: y = 0

Extreme Points of

\frac{2 t}{1 + t ^{2}} :

Minimum

(- 1, - 1),

Maximum

(1, 1)

Popular Examples

y = (\frac{x}{x + 1})^{2}

y = x^{3} + 2 x + 5

g (x) = x^{2} + 2 x + 2

f(x)=\sqrt[3]{x^2}-8x+8

y = \frac{x ^{2}}{1 - x}

Frequently Asked Questions (FAQ)

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