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Popular >

f(x)=|sqrt(x)-1|*e^{-|x-1|}

Solution

f (x) = x - 1 \cdot e^{- ∣ x - 1 ∣}

Solution

Domain : x \geq 0

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

Asymptotes : None

Extreme Points : Maximum (0, \frac{1}{e}), Minimum (1, 0), Maximum \frac{2 + 3}{2}, e^{- \frac{2 + 3}{2} + 1} \frac{2 + 3}{2} - 1

+1

Interval Notation

Domain : [0, \infty)

Solution steps

Domain of

x - 1 \cdot e^{- ∣ x - 1 ∣} : x \geq 0

Axis interception points of

x - 1 \cdot e^{- ∣ x - 1 ∣} :

X Intercepts

: (1, 0),

Y Intercepts

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

Asymptotes of

x - 1 \cdot e^{- ∣ x - 1 ∣} :

None

Extreme Points of

x - 1 \cdot e^{- ∣ x - 1 ∣} :

Maximum

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

Minimum

(1, 0),

Maximum

\frac{2 + 3}{2}, e^{- \frac{2 + 3}{2} + 1} \frac{2 + 3}{2} - 1

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Frequently Asked Questions (FAQ)

What is the f(x)=|sqrt(x)-1|*e^{-|x-1|} ?
The f(x)=|sqrt(x)-1|*e^{-|x-1|} is