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Popular Functions >

f(x)=x^3e^{4-2x^2}

Solution

f (x) = x^{3} e^{4 - 2 x^{2}}

Solution

Domain : - \infty < x < \infty

Range : - \frac{3 3 e ^{\frac{5}{2}}}{8} \leq f (x) \leq \frac{3 3 e ^{\frac{5}{2}}}{8}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{3}{2}, - \frac{3 3 e ^{\frac{5}{2}}}{8}), Saddle (0, 0), Maximum (\frac{3}{2}, \frac{3 3 e ^{\frac{5}{2}}}{8})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{3 3 e ^{\frac{5}{2}}}{8}, \frac{3 3 e ^{\frac{5}{2}}}{8}]

Solution steps

Domain of

x^{3} e^{4 - 2 x^{2}} : - \infty < x < \infty

Range of

x^{3} e^{4 - 2 x^{2}} : - \frac{3 3 e ^{\frac{5}{2}}}{8} \leq f (x) \leq \frac{3 3 e ^{\frac{5}{2}}}{8}

Axis interception points of

x^{3} e^{4 - 2 x^{2}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} e^{4 - 2 x^{2}} :

Horizontal

: y = 0

Extreme Points of

x^{3} e^{4 - 2 x^{2}} :

Minimum

(- \frac{3}{2}, - \frac{3 3 e ^{\frac{5}{2}}}{8}),

Saddle

(0, 0),

Maximum

(\frac{3}{2}, \frac{3 3 e ^{\frac{5}{2}}}{8})

Graph

Popular Examples

y= 1/(sqrt(x+2))

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

Frequently Asked Questions (FAQ)

What is the f(x)=x^3e^{4-2x^2} ?
The f(x)=x^3e^{4-2x^2} is