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Popular >

f(x)=(x^2)/(2^x)

Solution

f (x) = \frac{x ^{2}}{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 (\frac{2}{ln ( 2 )}, \frac{2 ^{\frac{2 l n ( 2 ) - 2}{l n ( 2 )}}}{ln ^{2} ( 2 )})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

\frac{x ^{2}}{2 ^{x}} : f (x) > 0

Axis interception points of

\frac{x ^{2}}{2 ^{x}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2}}{2 ^{x}} :

Horizontal

: y = 0

Extreme Points of

\frac{x ^{2}}{2 ^{x}} :

Minimum

(0, 0),

Maximum

(\frac{2}{ln ( 2 )}, \frac{2 ^{\frac{2 l n ( 2 ) - 2}{l n ( 2 )}}}{ln ^{2} ( 2 )})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2)/(2^x) ?
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