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Popular >

y=e^{-(x^2)/2}

Solution

y = e^{- \frac{x ^{2}}{2}}

Solution

Domain : - \infty < x < \infty

Range : 0 < f (x) \leq 1

Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (0, 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, 1]

Solution steps

Domain of

e^{- \frac{x ^{2}}{2}} : - \infty < x < \infty

Range of

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

Axis interception points of

e^{- \frac{x ^{2}}{2}} :

Y Intercepts

: (0, 1)

Asymptotes of

e^{- \frac{x ^{2}}{2}} :

Horizontal

: y = 0

Extreme Points of

e^{- \frac{x ^{2}}{2}} :

Maximum

(0, 1)

Popular Examples

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

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

f(s)=15-s+4s^2-5s^4

f (s) = 15 - s + 4 s^{2} - 5 s^{4}

f(x)=log_{4}(x)-3

f (x) = lo g_{4} (x) - 3

f (x) = - ∣ x - 2 ∣

f(x)= 1/(sqrt(2pi))e^{-(x^2)/2}

f (x) = \frac{1}{2 π} e^{- \frac{x ^{2}}{2}}

Frequently Asked Questions (FAQ)

What is the y=e^{-(x^2)/2} ?
The y=e^{-(x^2)/2} is