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Popular >

f(t)=t^3e^{2t}

Solution

f (t) = t^{3} e^{2 t}

Solution

Domain : - \infty < t < \infty

Range : f (t) \geq - \frac{27}{8 e ^{3}}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{3}{2}, - \frac{27}{8 e ^{3}}), Saddle (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{27}{8 e ^{3}}, \infty)

Solution steps

Domain of

t^{3} e^{2 t} : - \infty < t < \infty

Range of

t^{3} e^{2 t} : f (t) \geq - \frac{27}{8 e ^{3}}

Axis interception points of

t^{3} e^{2 t} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

t^{3} e^{2 t} :

Horizontal

: y = 0

Extreme Points of

t^{3} e^{2 t} :

Minimum

(- \frac{3}{2}, - \frac{27}{8 e ^{3}}),

Saddle

(0, 0)

Popular Examples

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y= x/(sqrt(x+1))

y = \frac{x}{x + 1}

f(x)=(x+2)/(x^2+x-2)

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y = - (x - 2)^{2} + 4

y = (\frac{1}{3})^{x} - 2

Frequently Asked Questions (FAQ)

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