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Popular >

f(x)=(x-1)e^{-x}

Solution

f (x) = (x - 1) e^{- x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{1}{e ^{2}}

X Intercepts : (1, 0), Y Intercepts : (0, - 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (2, \frac{1}{e ^{2}})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{1}{e ^{2}}]

Solution steps

Domain of

(x - 1) e^{- x} : - \infty < x < \infty

Range of

(x - 1) e^{- x} : f (x) \leq \frac{1}{e ^{2}}

Axis interception points of

(x - 1) e^{- x} :

X Intercepts

: (1, 0),

Y Intercepts

: (0, - 1)

Asymptotes of

(x - 1) e^{- x} :

Horizontal

: y = 0

Extreme Points of

(x - 1) e^{- x} :

Maximum

(2, \frac{1}{e ^{2}})

Popular Examples

y=(4x+3)/(5x-3)

y = \frac{4 x + 3}{5 x - 3}

g(x)=(1+2x)/(3-4x)

g (x) = \frac{1 + 2 x}{3 - 4 x}

f(x)=x^3+2x^2-5x+1

f (x) = x^{3} + 2 x^{2} - 5 x + 1

f(t)=sqrt(t^2-9)

f (t) = t^{2} - 9

f(x)=3log_{2}(x+1)

f (x) = 3 lo g_{2} (x + 1)

Frequently Asked Questions (FAQ)

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