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Popular >

f(x)=(x^2-2^x)/(1000)

Solution

f (x) = \frac{x ^{2} - 2 ^{x}}{1000}

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

Y Intercepts : (0, - \frac{1}{1000})

Asymptotes : None

Extreme Points : Minimum - \frac{W _{0} ( - \frac{l n ^{2} ( 2 )}{2} )}{ln ( 2 )}, \frac{2 ^{\frac{W _{0} ( - \frac{l n ^{2} ( 2 )}{2} )}{l n ( 2 )}} W _{0} ( - \frac{l n ^{2} ( 2 )}{2} ) ^{2} - ln ^{2} ( 2 )}{1000 \cdot 2 ^{\frac{W _{0} ( - \frac{l n ^{2} ( 2 )}{2} )}{l n ( 2 )}} ln ^{2} ( 2 )}, Maximum - \frac{W _{- 1} ( - \frac{l n ^{2} ( 2 )}{2} )}{ln ( 2 )}, \frac{2 ^{\frac{W _{- 1} ( - \frac{l n ^{2} ( 2 )}{2} )}{l n ( 2 )}} W _{- 1} ( - \frac{l n ^{2} ( 2 )}{2} ) ^{2} - ln ^{2} ( 2 )}{1000 \cdot 2 ^{\frac{W _{- 1} ( - \frac{l n ^{2} ( 2 )}{2} )}{l n ( 2 )}} ln ^{2} ( 2 )}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{x ^{2} - 2 ^{x}}{1000} : - \infty < x < \infty

Range of

\frac{x ^{2} - 2 ^{x}}{1000} : - \infty < f (x) < \infty

Axis interception points of

\frac{x ^{2} - 2 ^{x}}{1000} :

Y Intercepts

: (0, - \frac{1}{1000})

Asymptotes of

\frac{x ^{2} - 2 ^{x}}{1000} :

None

Extreme Points of

\frac{x ^{2} - 2 ^{x}}{1000} :

Minimum

- \frac{W _{0} ( - \frac{l n ^{2} ( 2 )}{2} )}{ln ( 2 )}, \frac{2 ^{\frac{W _{0} ( - \frac{l n ^{2} ( 2 )}{2} )}{l n ( 2 )}} W _{0} ( - \frac{l n ^{2} ( 2 )}{2} ) ^{2} - ln ^{2} ( 2 )}{1000 \cdot 2 ^{\frac{W _{0} ( - \frac{l n ^{2} ( 2 )}{2} )}{l n ( 2 )}} ln ^{2} ( 2 )},

Maximum

- \frac{W _{- 1} ( - \frac{l n ^{2} ( 2 )}{2} )}{ln ( 2 )}, \frac{2 ^{\frac{W _{- 1} ( - \frac{l n ^{2} ( 2 )}{2} )}{l n ( 2 )}} W _{- 1} ( - \frac{l n ^{2} ( 2 )}{2} ) ^{2} - ln ^{2} ( 2 )}{1000 \cdot 2 ^{\frac{W _{- 1} ( - \frac{l n ^{2} ( 2 )}{2} )}{l n ( 2 )}} ln ^{2} ( 2 )}

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^2-2^x)/(1000) ?
The f(x)=(x^2-2^x)/(1000) is