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Popular >

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

Solution

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

Solution

Domain : - \infty < t < \infty

Range : f (t) > 0

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- \frac{2}{3}, \frac{4}{9 e ^{2}}), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

t^{2} e^{3 t} : f (t) > 0

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- \frac{2}{3}, \frac{4}{9 e ^{2}}),

Minimum

(0, 0)

Popular Examples

f (x) = - 3 sin (x)

domain of sqrt(9a^2),a<0 domain

9 a^{2}, a < 0

f (x) = x^{3} - 12 x - 5

y=(x^{-2}-x^{-4})/(x^{-2)-x^{-3}}

y = \frac{x ^{- 2} - x ^{- 4}}{x ^{- 2} - x ^{- 3}}

f (x) = 2 x^{3} - 6 x + 1

Frequently Asked Questions (FAQ)

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