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Popular >

f(x)= 1/(e^x+1)+2/9 x

Solution

f (x) = \frac{1}{e ^{x} + 1} + \frac{2}{9} x

Solution

Domain : - \infty < x < \infty

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

Y Intercepts : (0, \frac{1}{2})

Asymptotes : Slant y = \frac{2}{9} x, y = \frac{2}{9} x + 1

Extreme Points : Maximum (- ln (2), \frac{2}{3} - \frac{2}{9} ln (2)), Minimum (ln (2), \frac{1}{3} + \frac{2}{9} ln (2))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

\frac{1}{e ^{x} + 1} + \frac{2}{9} x : - \infty < x < \infty

Range of

\frac{1}{e ^{x} + 1} + \frac{2}{9} x : - \infty < f (x) < \infty

Axis interception points of

\frac{1}{e ^{x} + 1} + \frac{2}{9} x :

Y Intercepts

: (0, \frac{1}{2})

Asymptotes of

\frac{1}{e ^{x} + 1} + \frac{2}{9} x :

Slant

: y = \frac{2}{9} x, y = \frac{2}{9} x + 1

Extreme Points of

\frac{1}{e ^{x} + 1} + \frac{2}{9} x :

Maximum

(- ln (2), \frac{2}{3} - \frac{2}{9} ln (2)),

Minimum

(ln (2), \frac{1}{3} + \frac{2}{9} ln (2))

Popular Examples

f(x)=-x^3+4x^2-2x-21

f (x) = - x^{3} + 4 x^{2} - 2 x - 21

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

f(x)=(2x+1)/(x^2+x-2)

f (x) = \frac{2 x + 1}{x ^{2} + x - 2}

intercepts of x,x>= 7 intercepts

x, x \geq 7

f(x)=(x-4)/(x-3)

f (x) = \frac{x - 4}{x - 3}

Frequently Asked Questions (FAQ)

What is the f(x)= 1/(e^x+1)+2/9 x ?
The f(x)= 1/(e^x+1)+2/9 x is