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Popular >

y=(e^x)/(4(1-x))

Solution

y = \frac{e ^{x}}{4 ( 1 - x )}

Solution

Domain : x < 1 or x > 1

Range : f (x) \leq - \frac{e ^{2}}{4} or f (x) > 0

Y Intercepts : (0, \frac{1}{4})

Asymptotes : Vertical x = 1, Horizontal y = 0

Extreme Points : Maximum (2, - \frac{e ^{2}}{4})

+1

Interval Notation

Domain : (- \infty, 1) \cup (1, \infty)

Range : (- \infty, - \frac{e ^{2}}{4}] \cup (0, \infty)

Solution steps

Domain of

\frac{e ^{x}}{4 ( 1 - x )} : x < 1 or x > 1

Range of

\frac{e ^{x}}{4 ( 1 - x )} : f (x) \leq - \frac{e ^{2}}{4} or f (x) > 0

Axis interception points of

\frac{e ^{x}}{4 ( 1 - x )} :

Y Intercepts

: (0, \frac{1}{4})

Asymptotes of

\frac{e ^{x}}{4 ( 1 - x )} :

Vertical

: x = 1,

Horizontal

: y = 0

Extreme Points of

\frac{e ^{x}}{4 ( 1 - x )} :

Maximum

(2, - \frac{e ^{2}}{4})

Popular Examples

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f (x) = - 2 x^{2} + 20 x - 3

y=2cos(1/2 x+1)-4

y = 2 cos (\frac{1}{2} x + 1) - 4

f (x) = x^{3} - 2 x - 2

Frequently Asked Questions (FAQ)

What is the y=(e^x)/(4(1-x)) ?
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