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Popular >

p(t)=(6t^2+5t)/((t+1)^2)

Solution

p (t) = \frac{6 t ^{2} + 5 t}{( t + 1 ) ^{2}}

Solution

Domain : t < - 1 or t > - 1

Range : f (t) \geq - \frac{25}{4}

X Intercepts : (0, 0), (- \frac{5}{6}, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical t = - 1, Horizontal y = 6

Extreme Points : Minimum (- \frac{5}{7}, - \frac{25}{4})

+1

Solution steps

Domain of

\frac{6 t ^{2} + 5 t}{( t + 1 ) ^{2}} : t < - 1 or t > - 1

Range of

\frac{6 t ^{2} + 5 t}{( t + 1 ) ^{2}} : f (t) \geq - \frac{25}{4}

Axis interception points of

\frac{6 t ^{2} + 5 t}{( t + 1 ) ^{2}} :

X Intercepts

: (0, 0), (- \frac{5}{6}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{6 t ^{2} + 5 t}{( t + 1 ) ^{2}} :

Vertical

: t = - 1,

Horizontal

: y = 6

Extreme Points of

\frac{6 t ^{2} + 5 t}{( t + 1 ) ^{2}} :

Minimum

(- \frac{5}{7}, - \frac{25}{4})

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