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Popular >

f(x)=x^2e^{-2x}

Solution

f (x) = x^{2} e^{- 2 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (0, 0), Maximum (1, \frac{1}{e ^{2}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

x^{2} e^{- 2 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} e^{- 2 x} :

Horizontal

: y = 0

Extreme Points of

x^{2} e^{- 2 x} :

Minimum

(0, 0),

Maximum

(1, \frac{1}{e ^{2}})

Popular Examples

h (t) = 96 t - 16 t^{2}

f(x)=2x^3+11x-3

f (x) = 2 x^{3} + 11 x - 3

y = \frac{2}{x + 3}

y = \frac{2}{x - 1}

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

Frequently Asked Questions (FAQ)

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