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Popular >

f(t)=t^2e^t

Solution

f (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 : Maximum (- 2, \frac{4}{e ^{2}}), Minimum (0, 0)

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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} :

Maximum

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

Minimum

(0, 0)

Popular Examples

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

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

f(x)=xarcsin(x)+sqrt(1-x^2)

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

f(x)=x^3-x^2-8x+12

f (x) = x^{3} - x^{2} - 8 x + 12

f(x)=sqrt(4-2x)

f (x) = 4 - 2 x

y = cos^{2} (3 x)

Frequently Asked Questions (FAQ)

What is the f(t)=t^2e^t ?
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