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Popular >

f(x)=8x^2e^{-x^2}

Solution

f (x) = 8 x^{2} e^{- x^{2}}

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq \frac{8}{e}

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 1, \frac{8}{e}), Minimum (0, 0), Maximum (1, \frac{8}{e})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \frac{8}{e}]

Solution steps

Domain of

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

Range of

8 x^{2} e^{- x^{2}} : 0 < f (x) \leq \frac{8}{e}

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- 1, \frac{8}{e}),

Minimum

(0, 0),

Maximum

(1, \frac{8}{e})

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Frequently Asked Questions (FAQ)

What is the f(x)=8x^2e^{-x^2} ?
The f(x)=8x^2e^{-x^2} is