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Popular >

f(a)=a-2^a-2

Solution

f (a) = a - 2^{a} - 2

Solution

Domain : - \infty < a < \infty

Range : f (x) \leq \frac{ln ( \frac{1}{l n ( 2 )} )}{ln ( 2 )} - 2^{\frac{l n ( \frac{1}{l n ( 2 )} )}{l n ( 2 )}} - 2

Y Intercepts : (0, - 3)

Asymptotes : Horizontal y = a - 2^{a} - 2

Extreme Points : Maximum \frac{ln ( \frac{1}{l n ( 2 )} )}{ln ( 2 )}, \frac{ln ( \frac{1}{l n ( 2 )} )}{ln ( 2 )} - 2^{\frac{l n ( \frac{1}{l n ( 2 )} )}{l n ( 2 )}} - 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : - \infty, \frac{ln ( \frac{1}{l n ( 2 )} )}{ln ( 2 )} - 2^{\frac{l n ( \frac{1}{l n ( 2 )} )}{l n ( 2 )}} - 2

Solution steps

Domain of

a - 2^{a} - 2 : - \infty < a < \infty

Range of

a - 2^{a} - 2 : f (x) \leq \frac{ln ( \frac{1}{l n ( 2 )} )}{ln ( 2 )} - 2^{\frac{l n ( \frac{1}{l n ( 2 )} )}{l n ( 2 )}} - 2

Axis interception points of

a - 2^{a} - 2 :

Y Intercepts

: (0, - 3)

Asymptotes of

a - 2^{a} - 2 :

Horizontal

: y = a - 2^{a} - 2

Extreme Points of

a - 2^{a} - 2 :

Maximum

\frac{ln ( \frac{1}{l n ( 2 )} )}{ln ( 2 )}, \frac{ln ( \frac{1}{l n ( 2 )} )}{ln ( 2 )} - 2^{\frac{l n ( \frac{1}{l n ( 2 )} )}{l n ( 2 )}} - 2

Popular Examples

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y=log_{10}(x^2+4)

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f(x)= 1/((1+x^5))

f (x) = \frac{1}{( 1 + x ^{5} )}

Frequently Asked Questions (FAQ)

What is the f(a)=a-2^a-2 ?
The f(a)=a-2^a-2 is