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Popular >

v(t)=t^2e^{-t}

Solution

v (t) = t^{2} e^{- t}

Solution

Domain : - \infty < t < \infty

Range : f (t) > 0

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

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

t^{2} e^{- t} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

t^{2} e^{- t} :

Horizontal

: y = 0

Extreme Points of

t^{2} e^{- t} :

Minimum

(0, 0),

Maximum

(2, \frac{4}{e ^{2}})

Popular Examples

f(x)=-log_{2}(3(x-2))+4

f (x) = - lo g_{2} (3 (x - 2)) + 4

f(x)=(x-8)/(x^2+16x+64)

f (x) = \frac{x - 8}{x ^{2} + 16 x + 64}

f (x) = - ln (x - 1)

f(x)= 6/(1+x^2)

f (x) = \frac{6}{1 + x ^{2}}

f(x)=2(x-1)^3+5

f (x) = 2 (x - 1)^{3} + 5

Frequently Asked Questions (FAQ)

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