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Popular >

f(y)=(ln(y))/y

Solution

f (y) = \frac{ln ( y )}{y}

Solution

Domain : y > 0

Range : f (y) \leq \frac{1}{e}

X Intercepts : (1, 0)

Asymptotes : Vertical y = 0, Horizontal y = 0

Extreme Points : Maximum (e, \frac{1}{e})

+1

Interval Notation

Domain : (0, \infty)

Range : (- \infty, \frac{1}{e}]

Solution steps

Domain of

\frac{ln ( y )}{y} : y > 0

Range of

\frac{ln ( y )}{y} : f (y) \leq \frac{1}{e}

Axis interception points of

\frac{ln ( y )}{y} :

X Intercepts

: (1, 0)

Asymptotes of

\frac{ln ( y )}{y} :

Vertical

: y = 0,

Horizontal

: y = 0

Extreme Points of

\frac{ln ( y )}{y} :

Maximum

(e, \frac{1}{e})

Popular Examples

y = 2 x^{2} - 6 x + 1

f(x)=x^4+5x^3-7x^2-29x+30

f (x) = x^{4} + 5 x^{3} - 7 x^{2} - 29 x + 30

f(t)=(1+cos(t))/(1+sec(t))

f (t) = \frac{1 + cos ( t )}{1 + sec ( t )}

y = x^{3} - 3 x^{2} - 10 x

y = - \frac{2}{3} x + b

Frequently Asked Questions (FAQ)

What is the f(y)=(ln(y))/y ?
The f(y)=(ln(y))/y is