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Popular Calculus >

f(x)=x^4e^x

Solution

f (x) = x^{4} e^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- 4, \frac{256}{e ^{4}}), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

x^{4} e^{x} : f (x) > 0

Axis interception points of

x^{4} e^{x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{4} e^{x} :

Horizontal

: y = 0

Extreme Points of

x^{4} e^{x} :

Maximum

(- 4, \frac{256}{e ^{4}}),

Minimum

(0, 0)

Graph

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