What is the f(x)=|sqrt(x^2)-1|*e^{-|x-1|} ?

The f(x)=|sqrt(x^2)-1|*e^{-|x-1|} is

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f(x)=|sqrt(x^2)-1|*e^{-|x-1|}

f (x) = x^{2} - 1 \cdot e^{- ∣ x - 1 ∣}

Domain : - \infty < x < \infty

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

Asymptotes : Horizontal y = 0

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

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

x^{2} - 1 \cdot e^{- ∣ x - 1 ∣} : - \infty < x < \infty

Axis interception points of

x^{2} - 1 \cdot e^{- ∣ x - 1 ∣} :

X Intercepts

: (- 1, 0), (1, 0),

Y Intercepts

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

Asymptotes of

x^{2} - 1 \cdot e^{- ∣ x - 1 ∣} :

Horizontal

: y = 0

Extreme Points of

x^{2} - 1 \cdot e^{- ∣ x - 1 ∣} :

Maximum

(- 2, \frac{1}{e ^{3}}),

Minimum

(- 1, 0),

Maximum

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

Minimum

(1, 0),

Maximum

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

y = x - x^{2}

y = lo g_{5} (x + 2)

y = 2 (x + 1)^{2} + 3

f (x) = - \frac{2}{5} x^{3} + 6 x^{2} - 30 x + 100

f (x) = 3 ∣ x - 2 ∣ + 4

What is the f(x)=|sqrt(x^2)-1|*e^{-|x-1|} ?
The f(x)=|sqrt(x^2)-1|*e^{-|x-1|} is