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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \frac{2}{e} \leq f (x) \leq \frac{2}{e}

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

Asymptotes : Horizontal y = 0

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

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Minimum

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

Maximum

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

Popular Examples

2 a^{2} - a + 4, (a = 5)

f(x)=(x^2-9)/(sqrt(x+3))

f (x) = \frac{x ^{2} - 9}{x + 3}

y=(2x+5)sqrt(4x-1)

y = (2 x + 5) 4 x - 1

y=(2x^2+7x+6)/(3x^2+10x-8)

y = \frac{2 x ^{2} + 7 x + 6}{3 x ^{2} + 10 x - 8}

f(x)=(5x-2)/(x+9)

f (x) = \frac{5 x - 2}{x + 9}

Frequently Asked Questions (FAQ)

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